Inductive Reasoning
•Download as PPT, PDF•
3 likes•2,210 views
The document discusses various concepts in inductive and deductive reasoning including: - Writing conjectures based on given information and finding examples/counterexamples - Using Venn diagrams and truth tables to represent conjunctions, disjunctions, and conditionals - The properties of conditionals including converse, inverse, and contrapositive - Laws of logic like detachment and syllogism to make valid deductive arguments - Postulates and properties related to geometry concepts like lines, planes, angles, and segments
Report
Share
Report
Share
![Inductive Reasoning ,[object Object],[object Object],[object Object],[object Object]](https://image.slidesharecdn.com/inductive-reasoning991/85/Inductive-Reasoning-1-320.jpg)
![Writing Conjectures ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Given:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Recommended
Inductive reasoning & logic
Inductive reasoning uses examples and observations to reach a conclusion, called a conjecture. A conjecture is either always true or false. While examples can support a conjecture, they cannot prove it. A counterexample can demonstrate that a conjecture is false.
Inductive and Deductive Reasoning
The document discusses inductive and deductive reasoning. Inductive reasoning involves forming general conclusions from specific observations, while deductive reasoning draws specific conclusions from general statements. Examples are given of inductive arguments building from specific cases to a general rule, and deductive arguments applying a general premise to specific cases. The key features of deductive reasoning, including conditional statements and the five types of if-then logical structures (conditional, converse, counter example, inverse, and contrapositive), are also explained through examples.
Discrete Mathematics Lecture
The document discusses key concepts in discrete mathematics and logic. It defines propositions as basic building blocks represented by letters, and connectives as operators used to combine propositions like conjunction, disjunction, negation, and conditional statements. It provides truth tables showing the truth values of propositions under different connectives and examples of applying these logic rules.
Conditional statements dkjfoafoiej
The document defines conditional statements, converse, inverse, and contrapositive statements and provides examples of identifying each. It also discusses identifying the hypothesis and conclusion of conditional statements and determining the truth value of conditionals and their converses. The document provides guidance on writing indirect proofs using contradictions.
Geometry journal 2
The document summarizes key concepts in geometry including conditional statements, counter-examples, definitions, bi-conditionals, deductive reasoning, laws of logic, algebraic proofs, segment and angle properties, two-column proofs, the linear pair postulate, congruent complement and supplement theorems, the vertical angles theorem, and the common segments theorem. Examples are provided for each concept.
Logic
The document discusses key concepts in logic including propositions, truth tables, logical connectives like conjunction and disjunction, quantifiers, and valid arguments. Some key points:
- A proposition is a statement that is either true or false.
- Truth tables define the truth values of logical connectives and conditionals.
- Quantifiers like "all" and "some" are used to make generalized statements about sets.
- Venn diagrams can represent relationships between sets graphically.
- An argument is valid if the premises necessarily make the conclusion true.
Discrete math Truth Table
The document discusses truth tables and their use in determining the validity of arguments. It defines truth tables as listings of all possible combinations of true and false statements and the resulting truth values. It then explains conjunction, disjunction, negation, and logical equivalence through truth tables. Conjunction uses AND and is true only when both statements are true. Disjunction uses OR and is true if either statement is true. Negation reverses the truth value of a statement. Logical equivalence means statements have identical truth tables.
Mathematical Logic
With vocabulary
1. The Statements, Open Sentences, and Trurth Values
2. Negation
3. Compound Statement
4. Equivalence, Tautology, Contradiction, and Contingency
5. Converse, Invers, and Contraposition
6. Making Conclusion
Recommended
Inductive reasoning & logic
Inductive reasoning uses examples and observations to reach a conclusion, called a conjecture. A conjecture is either always true or false. While examples can support a conjecture, they cannot prove it. A counterexample can demonstrate that a conjecture is false.
Inductive and Deductive Reasoning
The document discusses inductive and deductive reasoning. Inductive reasoning involves forming general conclusions from specific observations, while deductive reasoning draws specific conclusions from general statements. Examples are given of inductive arguments building from specific cases to a general rule, and deductive arguments applying a general premise to specific cases. The key features of deductive reasoning, including conditional statements and the five types of if-then logical structures (conditional, converse, counter example, inverse, and contrapositive), are also explained through examples.
Discrete Mathematics Lecture
The document discusses key concepts in discrete mathematics and logic. It defines propositions as basic building blocks represented by letters, and connectives as operators used to combine propositions like conjunction, disjunction, negation, and conditional statements. It provides truth tables showing the truth values of propositions under different connectives and examples of applying these logic rules.
Conditional statements dkjfoafoiej
The document defines conditional statements, converse, inverse, and contrapositive statements and provides examples of identifying each. It also discusses identifying the hypothesis and conclusion of conditional statements and determining the truth value of conditionals and their converses. The document provides guidance on writing indirect proofs using contradictions.
Geometry journal 2
The document summarizes key concepts in geometry including conditional statements, counter-examples, definitions, bi-conditionals, deductive reasoning, laws of logic, algebraic proofs, segment and angle properties, two-column proofs, the linear pair postulate, congruent complement and supplement theorems, the vertical angles theorem, and the common segments theorem. Examples are provided for each concept.
Logic
The document discusses key concepts in logic including propositions, truth tables, logical connectives like conjunction and disjunction, quantifiers, and valid arguments. Some key points:
- A proposition is a statement that is either true or false.
- Truth tables define the truth values of logical connectives and conditionals.
- Quantifiers like "all" and "some" are used to make generalized statements about sets.
- Venn diagrams can represent relationships between sets graphically.
- An argument is valid if the premises necessarily make the conclusion true.
Discrete math Truth Table
The document discusses truth tables and their use in determining the validity of arguments. It defines truth tables as listings of all possible combinations of true and false statements and the resulting truth values. It then explains conjunction, disjunction, negation, and logical equivalence through truth tables. Conjunction uses AND and is true only when both statements are true. Disjunction uses OR and is true if either statement is true. Negation reverses the truth value of a statement. Logical equivalence means statements have identical truth tables.
Mathematical Logic
With vocabulary
1. The Statements, Open Sentences, and Trurth Values
2. Negation
3. Compound Statement
4. Equivalence, Tautology, Contradiction, and Contingency
5. Converse, Invers, and Contraposition
6. Making Conclusion
Geometry 201 unit 2.4
This document discusses deductive reasoning and how to evaluate arguments using deductive logic. It introduces the law of detachment and law of syllogism as valid forms of deductive reasoning. Examples are provided to illustrate identifying the hypothesis and conclusion of conditionals, and determining whether conjectures follow validly from given information using the laws of detachment and syllogism. Practice problems are included for the reader to apply these concepts.
Geometry 201 unit 2.2
This document covers conditional statements and their components. It defines key terms like hypothesis, conclusion, converse, inverse, and contrapositive. Examples are provided to demonstrate how to identify the hypothesis and conclusion of conditional statements, write conditionals from sentences, and determine truth values. The last part discusses logical equivalence and how a conditional is equivalent to its contrapositive based on the Law of Contrapositive.
Geometry 201 unit 2.3
This document discusses biconditional statements and definitions. It begins by defining a biconditional statement as one that can be written "p if and only if q," meaning "if p then q" and "if q then p." Examples are provided of writing the conditionals within biconditionals. The document also discusses analyzing the truth value of biconditionals and providing counterexamples if false. Finally, it notes that definitions can be written as true biconditionals, and examples are given of writing geometric definitions as biconditionals.
Discrete mathematics
Discrete Mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities.
Truth tables
The document discusses truth tables, which are used to determine if compound statements are true or false. It provides examples of truth tables for negation, conjunction, and disjunction. A conjunction is true only when both statements are true, while a disjunction is true when at least one statement is true. Truth tables can have more than two statements, with each additional statement doubling the number of possible cases.
1.3.2 Conditional Statements
* Identify, write, and analyze the truth value of conditional statements.
* Write the inverse, converse, and contrapositive of a conditional statement.
Conditional and biconditional statements
1) Conditional statements relate two parts - a hypothesis (if part) and a conclusion (then part). If the hypothesis is true, then the conclusion must be true as well.
2) The converse of a conditional statement switches the hypothesis and conclusion. The inverse negates both parts. The contrapositive obtains the inverse and then switches parts.
3) A biconditional statement uses "if and only if" to join a conditional statement with its converse when both are true. This creates a single statement expressing their relationship.
Logic (slides)
This document defines logical propositions, statements, and logical operations such as negation, conjunction, disjunction, implication, equivalence, and quantification. Propositions can be combined using logical operations to form compound statements. Truth tables are used to evaluate compound statements based on the truth values of the component propositions. Logical properties such as commutativity, associativity, distributivity, idempotence and negation are also discussed.
Gch2 l2
This document discusses conditional statements. It begins by defining key terms like hypothesis, conclusion, and truth value. It then provides examples of identifying the hypothesis and conclusion of conditional statements. The document explains how to write conditionals from sentences, determine if a conditional is true or false by looking for counterexamples, and write the converse, inverse, and contrapositive of a conditional statement. It concludes with a short quiz reviewing these concepts.
1.3.1 Conditional Statements
* Identify, write, and analyze conditional statements
* Write the inverse, converse, and contrapositive of a conditional statement
* Write a counterexample to a false conjecture
* Write a biconditional statement
Prpositional2
Propositional logic represents facts as being either true or false. It defines a syntax of allowed expressions, semantics that map expressions to meanings in terms of truth values, and inference rules for deriving new conclusions from existing statements. The syntax includes propositional symbols, logical constants, and logical connectives. Semantics define the truth conditions for sentences using truth tables. Inference rules like modus ponens, chain rule, substitution, simplification, conjunction, and transposition allow drawing valid conclusions.
Truth table
A truth table is a mathematical table utilized in logic - more specifically—specifically in relation with Boolean algebra, boolean functions, and propositional calculus.
CMSC 56 | Lecture 2: Propositional Equivalences
Propositional Equivalences
CMSC 56 | Discrete Mathematical Structure for Computer Science
August 23, 2018
Instructor: Allyn Joy D. Calcaben
College of Arts & Sciences
University of the Philippines Visayas
Assignement of discrete mathematics
Discrete mathematics concerns processes that consist of a sequence of individual steps. Logic is the study of principles and methods that distinguish between valid and invalid arguments. A statement is a declarative sentence that is either true or false. Simple statements can be combined using logical connectives like AND, OR, and NOT to form compound statements. Truth tables specify the truth value of compound propositions based on the truth values of their constituent propositions and can be used to analyze compound statements. De Morgan's laws describe the relationships between logical connectives when negating compound propositions.
Truth tables complete and p1 of short method
The document discusses truth tables and how to use partial truth tables (also called the short method) to evaluate sentences. Some key points:
- Truth tables determine the truth values of sentences based on the truth values of their parts and connectives like negation, conjunction, disjunction, conditional, biconditional.
- To show a sentence is a tautology or contradiction requires a full truth table, but only one line is needed to show it is not a tautology/contradiction.
- The short method constructs a partial truth table to evaluate sentences more efficiently in some cases, like showing a sentence is contingent by having one line with true and one with false.
- For tasks like
3 computing truth tables
This document provides information about symbolic logic, including:
1. It defines propositions as statements that are either true or false, and assigns them the truth values of TRUE or FALSE.
2. It gives examples of propositions and non-examples, and asks the reader to determine if certain statements are propositions.
3. It introduces propositional variables, logical connectives like "and" and "or", and truth tables to evaluate compound propositions formed from variables and connectives.
Abbreviated Truth Tables
- Abbreviated truth tables check an argument's validity by assuming the premises are true and conclusion is false, working backwards to assign true/false values to statements.
- For the argument "If A then B, A. Therefore B", assuming A is true and B is false leads to a contradiction, showing the argument is valid.
- More complex arguments may involve choices when multiple assignments could satisfy premises/conclusion. Finding a contradiction means that choice leads to a valid argument; an assignment without contradiction means the argument is invalid.
Propositional logic
This document provides an overview of propositional logic, including:
- Propositions are statements that can be true or false. Compound propositions combine simpler statements with logical connectives like "and" and "or".
- Truth tables show the truth values of compound propositions based on the truth values of their variables.
- Common logical connectives include conjunction, disjunction, negation, implication, and equivalence.
- Tautologies and contradictions are types of statements that are always true or false regardless of variable values.
- Quantifiers like "for all" and "there exists" can be used to define propositional functions on a domain.
- Valid arguments are those where the conclusion is necessarily true
Simple Equations I
This document discusses solving one-step linear equations using addition and subtraction. It defines key terms like equations, solutions, and isolating variables. It explains that when transforming equations, the same operations must be applied to both sides to maintain equivalence. Inverse operations like addition and subtraction can isolate variables. Examples show how to isolate variables using addition or subtraction and solve equations. Students are then prompted to solve practice equations on their own. The document also discusses using equations to solve real-world problems, like finding a person's maximum heart rate based on their age.
Inductive Method
The inductive method involves presenting students with a specific challenge or problem and having them investigate, test, analyze, and draw their own conclusions based on their existing knowledge. It guides students through critical thinking and evaluation of observations to draw logical conclusions. The inductive method is an effective way to obtain general information about the world through observation and inquiry-based learning.
English K to 12 Curriculum Guide
This document presents the K-12 English curriculum guide for the Philippines Department of Education. It discusses the philosophy, principles, and outcomes of the English language curriculum. The curriculum is designed to develop students' communicative competence and literacy skills through engaging with various texts and multimedia. It recognizes that today's students, known as Generation Z, are digital natives who are highly technology-savvy but may have reduced attention spans due to multi-tasking. The goal is to produce graduates who can effectively communicate, continue learning, and succeed in their chosen fields using English language skills.
More Related Content
What's hot
Geometry 201 unit 2.4
This document discusses deductive reasoning and how to evaluate arguments using deductive logic. It introduces the law of detachment and law of syllogism as valid forms of deductive reasoning. Examples are provided to illustrate identifying the hypothesis and conclusion of conditionals, and determining whether conjectures follow validly from given information using the laws of detachment and syllogism. Practice problems are included for the reader to apply these concepts.
Geometry 201 unit 2.2
This document covers conditional statements and their components. It defines key terms like hypothesis, conclusion, converse, inverse, and contrapositive. Examples are provided to demonstrate how to identify the hypothesis and conclusion of conditional statements, write conditionals from sentences, and determine truth values. The last part discusses logical equivalence and how a conditional is equivalent to its contrapositive based on the Law of Contrapositive.
Geometry 201 unit 2.3
This document discusses biconditional statements and definitions. It begins by defining a biconditional statement as one that can be written "p if and only if q," meaning "if p then q" and "if q then p." Examples are provided of writing the conditionals within biconditionals. The document also discusses analyzing the truth value of biconditionals and providing counterexamples if false. Finally, it notes that definitions can be written as true biconditionals, and examples are given of writing geometric definitions as biconditionals.
Discrete mathematics
Discrete Mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities.
Truth tables
The document discusses truth tables, which are used to determine if compound statements are true or false. It provides examples of truth tables for negation, conjunction, and disjunction. A conjunction is true only when both statements are true, while a disjunction is true when at least one statement is true. Truth tables can have more than two statements, with each additional statement doubling the number of possible cases.
1.3.2 Conditional Statements
* Identify, write, and analyze the truth value of conditional statements.
* Write the inverse, converse, and contrapositive of a conditional statement.
Conditional and biconditional statements
1) Conditional statements relate two parts - a hypothesis (if part) and a conclusion (then part). If the hypothesis is true, then the conclusion must be true as well.
2) The converse of a conditional statement switches the hypothesis and conclusion. The inverse negates both parts. The contrapositive obtains the inverse and then switches parts.
3) A biconditional statement uses "if and only if" to join a conditional statement with its converse when both are true. This creates a single statement expressing their relationship.
Logic (slides)
This document defines logical propositions, statements, and logical operations such as negation, conjunction, disjunction, implication, equivalence, and quantification. Propositions can be combined using logical operations to form compound statements. Truth tables are used to evaluate compound statements based on the truth values of the component propositions. Logical properties such as commutativity, associativity, distributivity, idempotence and negation are also discussed.
Gch2 l2
This document discusses conditional statements. It begins by defining key terms like hypothesis, conclusion, and truth value. It then provides examples of identifying the hypothesis and conclusion of conditional statements. The document explains how to write conditionals from sentences, determine if a conditional is true or false by looking for counterexamples, and write the converse, inverse, and contrapositive of a conditional statement. It concludes with a short quiz reviewing these concepts.
1.3.1 Conditional Statements
* Identify, write, and analyze conditional statements
* Write the inverse, converse, and contrapositive of a conditional statement
* Write a counterexample to a false conjecture
* Write a biconditional statement
Prpositional2
Propositional logic represents facts as being either true or false. It defines a syntax of allowed expressions, semantics that map expressions to meanings in terms of truth values, and inference rules for deriving new conclusions from existing statements. The syntax includes propositional symbols, logical constants, and logical connectives. Semantics define the truth conditions for sentences using truth tables. Inference rules like modus ponens, chain rule, substitution, simplification, conjunction, and transposition allow drawing valid conclusions.
Truth table
A truth table is a mathematical table utilized in logic - more specifically—specifically in relation with Boolean algebra, boolean functions, and propositional calculus.
CMSC 56 | Lecture 2: Propositional Equivalences
Propositional Equivalences
CMSC 56 | Discrete Mathematical Structure for Computer Science
August 23, 2018
Instructor: Allyn Joy D. Calcaben
College of Arts & Sciences
University of the Philippines Visayas
Assignement of discrete mathematics
Discrete mathematics concerns processes that consist of a sequence of individual steps. Logic is the study of principles and methods that distinguish between valid and invalid arguments. A statement is a declarative sentence that is either true or false. Simple statements can be combined using logical connectives like AND, OR, and NOT to form compound statements. Truth tables specify the truth value of compound propositions based on the truth values of their constituent propositions and can be used to analyze compound statements. De Morgan's laws describe the relationships between logical connectives when negating compound propositions.
Truth tables complete and p1 of short method
The document discusses truth tables and how to use partial truth tables (also called the short method) to evaluate sentences. Some key points:
- Truth tables determine the truth values of sentences based on the truth values of their parts and connectives like negation, conjunction, disjunction, conditional, biconditional.
- To show a sentence is a tautology or contradiction requires a full truth table, but only one line is needed to show it is not a tautology/contradiction.
- The short method constructs a partial truth table to evaluate sentences more efficiently in some cases, like showing a sentence is contingent by having one line with true and one with false.
- For tasks like
3 computing truth tables
This document provides information about symbolic logic, including:
1. It defines propositions as statements that are either true or false, and assigns them the truth values of TRUE or FALSE.
2. It gives examples of propositions and non-examples, and asks the reader to determine if certain statements are propositions.
3. It introduces propositional variables, logical connectives like "and" and "or", and truth tables to evaluate compound propositions formed from variables and connectives.
Abbreviated Truth Tables
- Abbreviated truth tables check an argument's validity by assuming the premises are true and conclusion is false, working backwards to assign true/false values to statements.
- For the argument "If A then B, A. Therefore B", assuming A is true and B is false leads to a contradiction, showing the argument is valid.
- More complex arguments may involve choices when multiple assignments could satisfy premises/conclusion. Finding a contradiction means that choice leads to a valid argument; an assignment without contradiction means the argument is invalid.
Propositional logic
This document provides an overview of propositional logic, including:
- Propositions are statements that can be true or false. Compound propositions combine simpler statements with logical connectives like "and" and "or".
- Truth tables show the truth values of compound propositions based on the truth values of their variables.
- Common logical connectives include conjunction, disjunction, negation, implication, and equivalence.
- Tautologies and contradictions are types of statements that are always true or false regardless of variable values.
- Quantifiers like "for all" and "there exists" can be used to define propositional functions on a domain.
- Valid arguments are those where the conclusion is necessarily true
What's hot (19)
Viewers also liked
Simple Equations I
This document discusses solving one-step linear equations using addition and subtraction. It defines key terms like equations, solutions, and isolating variables. It explains that when transforming equations, the same operations must be applied to both sides to maintain equivalence. Inverse operations like addition and subtraction can isolate variables. Examples show how to isolate variables using addition or subtraction and solve equations. Students are then prompted to solve practice equations on their own. The document also discusses using equations to solve real-world problems, like finding a person's maximum heart rate based on their age.
Inductive Method
The inductive method involves presenting students with a specific challenge or problem and having them investigate, test, analyze, and draw their own conclusions based on their existing knowledge. It guides students through critical thinking and evaluation of observations to draw logical conclusions. The inductive method is an effective way to obtain general information about the world through observation and inquiry-based learning.
English K to 12 Curriculum Guide
This document presents the K-12 English curriculum guide for the Philippines Department of Education. It discusses the philosophy, principles, and outcomes of the English language curriculum. The curriculum is designed to develop students' communicative competence and literacy skills through engaging with various texts and multimedia. It recognizes that today's students, known as Generation Z, are digital natives who are highly technology-savvy but may have reduced attention spans due to multi-tasking. The goal is to produce graduates who can effectively communicate, continue learning, and succeed in their chosen fields using English language skills.
Deductive and inductive method of teching
The document discusses different approaches to teaching - deductive and inductive. The deductive approach involves the teacher directly presenting information to students, while the inductive approach involves the teacher presenting many examples for students to observe patterns and concepts from. Some key differences are noted: the deductive approach is more predictable but the inductive approach tends to lead to deeper understanding and retention. The document also asks questions about personalizing learning, predictability of lessons, desired depth of understanding, and time available to consider which approach may be better suited for a given situation.
Field Study 2: FS2 Experiencing the Teaching- Learning Process
This portfolio documents a field study experience where a group of students observed teaching practices at Sagay National High School. Over multiple visits, the students observed classroom lessons, noted teaching strategies and materials used, and described student participation. They reflected on teaching principles and how to consider learner characteristics. The portfolio includes journal entries, documentation of activities, and a reflection on gaining experience with the teaching-learning process.
Different approaches and methods
The document discusses different teaching approaches and methods. It begins by distinguishing between direct/expository approaches that have high teacher direction and guided/exploratory approaches with high student participation. It then defines key concepts like approach and method. The main types covered are direct/expository methods like deductive and demonstrative, as well as guided/exploratory methods like inductive. Characteristics, examples and advantages/disadvantages of each method are provided. The document aims to help teachers understand different instructional strategies and how to apply them based on learning objectives and content.
Viewers also liked (6)
Field Study 2: FS2 Experiencing the Teaching- Learning Process
Field Study 2: FS2 Experiencing the Teaching- Learning Process
Similar to Inductive Reasoning
2.3 deductive reasoning
This document discusses deductive reasoning and logical statements. It defines conditional, converse, biconditional, and negation statements using symbolic notation. Examples are given to illustrate using deductive reasoning to derive logical conclusions. The key laws of logic - detachment and syllogism - are explained and applied to examples involving conditional statements. An example using deductive reasoning to determine that if Mike visits Alabama, then he will visit the Civil Rights Memorial is provided.
Arguments.pptx
This document discusses arguments and their validity. It defines arguments as statements with premises and a conclusion. Valid arguments are those where the conclusion logically follows from the premises. Invalid arguments have conclusions that can be false even when the premises are true. The document provides examples of valid and invalid arguments. It also discusses rules of inference like modus ponens and modus tollens that are used to determine validity.
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
It is about Conditional Statements or If-Then Statements as well as identifying if the statement is valid or invalid.
Ac1.5aPostulates
The document discusses the key postulates and theorems relating to points, lines, and planes in geometry. It defines 9 postulates that serve as basic axioms about these concepts, including the ruler postulate, segment addition postulate, and protractor postulate. It then introduces 3 theorems that can be proven based on these postulates, such as the theorem that if two lines intersect, they intersect at exactly one point. The document emphasizes that postulates are accepted as true without proof, while theorems are important statements that can be proven to be true.
Journal 3
This document provides information about parallel and perpendicular lines and planes. It defines parallel lines and planes as those that never intersect. Skew lines are lines that are not in the same plane but also do not intersect. Transversals are lines that intersect two or more other lines. Theorems are presented about corresponding angles, alternate interior angles, same-side interior angles, and alternate exterior angles when two parallel lines are cut by a transversal. Additional theorems address perpendicular lines and finding the slope of a line. Examples are provided to illustrate each concept.
Geom 2point3
This document discusses deductive reasoning and symbolic logic. It defines deductive reasoning as using facts and logic to derive conclusions. It introduces symbolic notation to represent logical statements using p, q, and connectors like "if...then". Laws of logic like detachment and syllogism are explained. Examples show how to apply these concepts to evaluate arguments and derive valid conclusions.
Ac1.5bPracticeProblems
This document discusses geometry concepts related to lines, planes, and points. It provides explanations and justifications for several statements and theorems regarding how points determine lines and planes based on basic postulates. Several examples are given to illustrate these concepts, such as how three legs provide a steadier support than four legs, or how a warped board can be identified using a straightedge.
Grade 8-if-then-statement
Here are the converses, inverses, and contrapositives of the given statements:
1. Conditional: If two angles form a linear pair, then they are supplementary.
Converse: If two angles are supplementary, then they form a linear pair.
Inverse: If two angles do not form a linear pair, then they are not supplementary.
Contrapositive: If two angles are not supplementary, then they do not form a linear pair.
2. Conditional: If a parallelogram has a right angle, then it is a rectangle.
Converse: If a parallelogram is a rectangle, then it has a right angle.
Inverse: If a parallelogram does not have
chapter 1 (part 2)
The document discusses deductive and inductive arguments. It provides examples of valid and invalid deductive arguments using categorical propositions and conditional premises. It also discusses inductive arguments, noting that inductive conclusions generalize from specific premises rather than necessarily following from them. The document then compares deductive and inductive arguments and discusses their uses in everyday life and mathematics. It concludes by introducing some common rules of inference for deductive arguments.
01 propositions-110215093905-phpapp02
This document provides an introduction to propositions and propositional logic. It defines key concepts such as propositions, compound propositions formed using logical connectives, and well-formed formulas. Truth tables are presented as a way to determine the truth value of compound propositions based on the truth values of their component propositions. Examples are provided to illustrate different logical connectives and well-formed formulas.
Chapter1p1
This document provides an overview of propositional logic including:
- The basic components of propositional logic like propositions, connectives, truth tables
- Applications such as translating English sentences to logic, system specifications, puzzles
- Logical equivalences and showing equivalence through truth tables
- Sections cover propositions, connectives, truth tables, and applications including translation, specifications, puzzles
MATHMOW_LESSON-7.pptx
This document provides an overview of propositions and logic. It discusses:
- Propositions as statements that can be classified as true or false.
- Simple and compound propositions, where compound propositions combine two or more simple propositions.
- Logical operations on propositions including negation, conjunction, disjunction, conditional, and biconditional statements.
- Truth tables as a way to systematically determine the truth value of compound propositions based on the truth values of their components.
pdf_20220921_182850_0000.pdf
This document discusses conditional statements and their equivalent forms. It covers the following key points:
- Conditional statements can be expressed in equivalent forms, such as "if p then q" or "q only if p".
- Related statements to a conditional include the converse ("if q then p"), inverse ("if not p then not q") and contrapositive ("if not q then not p").
- The converse and contrapositive of a conditional statement are logically equivalent to the original statement. The inverse is not logically equivalent.
- Examples are provided to demonstrate writing conditionals in different forms and identifying the converse, inverse and contrapositive of conditional statements.
Chapter1p1.pdf
This section discusses applications of propositional logic, including translating English sentences to propositional logic, system specifications, and logic puzzles. It provides an example of translating the English sentence "You can access the Internet from campus only if you are a computer science major or you are not a freshman" to the propositional logic statement a→(c ∨ ¬f). It also gives an example of expressing the system specification "The automated reply cannot be sent when the file system is full" in propositional logic as p → ¬q.
proposition Logic-1.pptx Discrete Mathematics
This document provides an overview of propositional logic concepts including:
1. Propositions are declarative sentences that are either true or false. Conventional letters like p, q, r are used to represent propositions.
2. Logical connectives like negation, conjunction, disjunction, conditional, biconditional are defined along with their truth tables.
3. Quantifiers like universal and existential are introduced. Universal quantification ∀x p(x) means p(x) is true for all x, while existential quantification ∃x p(x) means there exists an x where p(x) is true.
Geometry Section 2-4
The document discusses writing proofs in geometry. It begins by defining key terms used in proofs such as postulate, axiom, proof, and flow proof. It then provides examples of paragraph and algebraic proofs and discusses using properties of equality and substitution in proofs. The document emphasizes analyzing geometric figures using postulates and writing logical arguments to construct proofs.
Geom 2point1
This document discusses conditional statements and their components. It defines a conditional statement as having a hypothesis and conclusion connected by "if...then". It provides examples of writing the converse, inverse, and contrapositive of conditional statements. The key points are:
- A conditional statement has two parts: a hypothesis and conclusion connected by "if...then"
- The converse switches the hypothesis and conclusion
- The inverse negates both the hypothesis and conclusion
- A statement is equivalent to its contrapositive
1 intro to logic
This document provides an introduction to symbolic logic, including simple and compound statements, logical connectives such as NOT, AND and OR, and truth tables. It defines statements, connectives, negation, conjunction, disjunction and uses truth tables to evaluate logical statements. Examples are provided to illustrate logical concepts like negation, conjunction, disjunction and logically equivalent statements using truth tables.
Geo 2 Chavez
The document is a journal entry that describes various concepts in logic and geometry including conditional statements, counterexamples, definitions, bi-conditional statements, deductive reasoning, logical laws, algebraic proofs, segment and angle properties, two-column proofs, linear pairs, congruent complements/supplements theorems, vertical angles theorem, and common segments theorem. For each concept, the journal provides a description and at least 3 examples. It receives points for accurately explaining each term and providing the requested examples.
Chapter 01 - p1.pdf
This document summarizes Chapter 1, Part I of a textbook on propositional logic. It introduces key concepts in propositional logic, including propositions, logical connectives like negation, conjunction, disjunction, implication, biconditional, and truth tables. It provides examples of applying propositional logic to represent English sentences, system specifications, logic puzzles and logic circuits. It also briefly describes representing knowledge about an electrical system in propositional logic for fault diagnosis in artificial intelligence.
Similar to Inductive Reasoning (20)
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
Recently uploaded
"$10 thousand per minute of downtime: architecture, queues, streaming and fin...
Direct losses from downtime in 1 minute = $5-$10 thousand dollars. Reputation is priceless.
As part of the talk, we will consider the architectural strategies necessary for the development of highly loaded fintech solutions. We will focus on using queues and streaming to efficiently work and manage large amounts of data in real-time and to minimize latency.
We will focus special attention on the architectural patterns used in the design of the fintech system, microservices and event-driven architecture, which ensure scalability, fault tolerance, and consistency of the entire system.
Northern Engraving | Modern Metal Trim, Nameplates and Appliance Panels
What began over 115 years ago as a supplier of precision gauges to the automotive industry has evolved into being an industry leader in the manufacture of product branding, automotive cockpit trim and decorative appliance trim. Value-added services include in-house Design, Engineering, Program Management, Test Lab and Tool Shops.
Day 2 - Intro to UiPath Studio Fundamentals
In our second session, we shall learn all about the main features and fundamentals of UiPath Studio that enable us to use the building blocks for any automation project.
📕 Detailed agenda:
Variables and Datatypes
Workflow Layouts
Arguments
Control Flows and Loops
Conditional Statements
💻 Extra training through UiPath Academy:
Variables, Constants, and Arguments in Studio
Control Flow in Studio
Connector Corner: Seamlessly power UiPath Apps, GenAI with prebuilt connectors
Join us to learn how UiPath Apps can directly and easily interact with prebuilt connectors via Integration Service--including Salesforce, ServiceNow, Open GenAI, and more.
The best part is you can achieve this without building a custom workflow! Say goodbye to the hassle of using separate automations to call APIs. By seamlessly integrating within App Studio, you can now easily streamline your workflow, while gaining direct access to our Connector Catalog of popular applications.
We’ll discuss and demo the benefits of UiPath Apps and connectors including:
Creating a compelling user experience for any software, without the limitations of APIs.
Accelerating the app creation process, saving time and effort
Enjoying high-performance CRUD (create, read, update, delete) operations, for
seamless data management.
Speakers:
Russell Alfeche, Technology Leader, RPA at qBotic and UiPath MVP
Charlie Greenberg, host
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...Pitangent Analytics & Technology Solutions Pvt. Ltd
Discover top-tier mobile app development services, offering innovative solutions for iOS and Android. Enhance your business with custom, user-friendly mobile applications.Dandelion Hashtable: beyond billion requests per second on a commodity server
This slide deck presents DLHT, a concurrent in-memory hashtable. Despite efforts to optimize hashtables, that go as far as sacrificing core functionality, state-of-the-art designs still incur multiple memory accesses per request and block request processing in three cases. First, most hashtables block while waiting for data to be retrieved from memory. Second, open-addressing designs, which represent the current state-of-the-art, either cannot free index slots on deletes or must block all requests to do so. Third, index resizes block every request until all objects are copied to the new index. Defying folklore wisdom, DLHT forgoes open-addressing and adopts a fully-featured and memory-aware closed-addressing design based on bounded cache-line-chaining. This design offers lock-free index operations and deletes that free slots instantly, (2) completes most requests with a single memory access, (3) utilizes software prefetching to hide memory latencies, and (4) employs a novel non-blocking and parallel resizing. In a commodity server and a memory-resident workload, DLHT surpasses 1.6B requests per second and provides 3.5x (12x) the throughput of the state-of-the-art closed-addressing (open-addressing) resizable hashtable on Gets (Deletes).
Session 1 - Intro to Robotic Process Automation.pdf
👉 Check out our full 'Africa Series - Automation Student Developers (EN)' page to register for the full program:
https://bit.ly/Automation_Student_Kickstart
In this session, we shall introduce you to the world of automation, the UiPath Platform, and guide you on how to install and setup UiPath Studio on your Windows PC.
📕 Detailed agenda:
What is RPA? Benefits of RPA?
RPA Applications
The UiPath End-to-End Automation Platform
UiPath Studio CE Installation and Setup
💻 Extra training through UiPath Academy:
Introduction to Automation
UiPath Business Automation Platform
Explore automation development with UiPath Studio
👉 Register here for our upcoming Session 2 on June 20: Introduction to UiPath Studio Fundamentals: https://community.uipath.com/events/details/uipath-lagos-presents-session-2-introduction-to-uipath-studio-fundamentals/
High performance Serverless Java on AWS- GoTo Amsterdam 2024
Java is for many years one of the most popular programming languages, but it used to have hard times in the Serverless community. Java is known for its high cold start times and high memory footprint, comparing to other programming languages like Node.js and Python. In this talk I'll look at the general best practices and techniques we can use to decrease memory consumption, cold start times for Java Serverless development on AWS including GraalVM (Native Image) and AWS own offering SnapStart based on Firecracker microVM snapshot and restore and CRaC (Coordinated Restore at Checkpoint) runtime hooks. I'll also provide a lot of benchmarking on Lambda functions trying out various deployment package sizes, Lambda memory settings, Java compilation options and HTTP (a)synchronous clients and measure their impact on cold and warm start times.
zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...
Folding is a recent technique for building efficient recursive SNARKs. Several elegant folding protocols have been proposed, such as Nova, Supernova, Hypernova, Protostar, and others. However, all of them rely on an additively homomorphic commitment scheme based on discrete log, and are therefore not post-quantum secure. In this work we present LatticeFold, the first lattice-based folding protocol based on the Module SIS problem. This folding protocol naturally leads to an efficient recursive lattice-based SNARK and an efficient PCD scheme. LatticeFold supports folding low-degree relations, such as R1CS, as well as high-degree relations, such as CCS. The key challenge is to construct a secure folding protocol that works with the Ajtai commitment scheme. The difficulty, is ensuring that extracted witnesses are low norm through many rounds of folding. We present a novel technique using the sumcheck protocol to ensure that extracted witnesses are always low norm no matter how many rounds of folding are used. Our evaluation of the final proof system suggests that it is as performant as Hypernova, while providing post-quantum security.
Paper Link: https://eprint.iacr.org/2024/257
ScyllaDB Tablets: Rethinking Replication
ScyllaDB is making a major architecture shift. We’re moving from vNode replication to tablets – fragments of tables that are distributed independently, enabling dynamic data distribution and extreme elasticity. In this keynote, ScyllaDB co-founder and CTO Avi Kivity explains the reason for this shift, provides a look at the implementation and roadmap, and shares how this shift benefits ScyllaDB users.
The Microsoft 365 Migration Tutorial For Beginner.pptx
This presentation will help you understand the power of Microsoft 365. However, we have mentioned every productivity app included in Office 365. Additionally, we have suggested the migration situation related to Office 365 and how we can help you.
You can also read: https://www.systoolsgroup.com/updates/office-365-tenant-to-tenant-migration-step-by-step-complete-guide/
GraphRAG for LifeSciences Hands-On with the Clinical Knowledge Graph
Tomaz Bratanic
Graph ML and GenAI Expert - Neo4j
Introduction of Cybersecurity with OSS at Code Europe 2024
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
AppSec PNW: Android and iOS Application Security with MobSF
Mobile Security Framework - MobSF is a free and open source automated mobile application security testing environment designed to help security engineers, researchers, developers, and penetration testers to identify security vulnerabilities, malicious behaviours and privacy concerns in mobile applications using static and dynamic analysis. It supports all the popular mobile application binaries and source code formats built for Android and iOS devices. In addition to automated security assessment, it also offers an interactive testing environment to build and execute scenario based test/fuzz cases against the application.
This talk covers:
Using MobSF for static analysis of mobile applications.
Interactive dynamic security assessment of Android and iOS applications.
Solving Mobile app CTF challenges.
Reverse engineering and runtime analysis of Mobile malware.
How to shift left and integrate MobSF/mobsfscan SAST and DAST in your build pipeline.
Astute Business Solutions | Oracle Cloud Partner |
Your goto partner for Oracle Cloud, PeopleSoft, E-Business Suite, and Ellucian Banner. We are a firm specialized in managed services and consulting.
Northern Engraving | Nameplate Manufacturing Process - 2024
Manufacturing custom quality metal nameplates and badges involves several standard operations. Processes include sheet prep, lithography, screening, coating, punch press and inspection. All decoration is completed in the flat sheet with adhesive and tooling operations following. The possibilities for creating unique durable nameplates are endless. How will you create your brand identity? We can help!
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...Edge AI and Vision Alliance
For the full video of this presentation, please visit: https://www.edge-ai-vision.com/2024/06/temporal-event-neural-networks-a-more-efficient-alternative-to-the-transformer-a-presentation-from-brainchip/
Chris Jones, Director of Product Management at BrainChip , presents the “Temporal Event Neural Networks: A More Efficient Alternative to the Transformer” tutorial at the May 2024 Embedded Vision Summit.
The expansion of AI services necessitates enhanced computational capabilities on edge devices. Temporal Event Neural Networks (TENNs), developed by BrainChip, represent a novel and highly efficient state-space network. TENNs demonstrate exceptional proficiency in handling multi-dimensional streaming data, facilitating advancements in object detection, action recognition, speech enhancement and language model/sequence generation. Through the utilization of polynomial-based continuous convolutions, TENNs streamline models, expedite training processes and significantly diminish memory requirements, achieving notable reductions of up to 50x in parameters and 5,000x in energy consumption compared to prevailing methodologies like transformers.
Integration with BrainChip’s Akida neuromorphic hardware IP further enhances TENNs’ capabilities, enabling the realization of highly capable, portable and passively cooled edge devices. This presentation delves into the technical innovations underlying TENNs, presents real-world benchmarks, and elucidates how this cutting-edge approach is positioned to revolutionize edge AI across diverse applications."Choosing proper type of scaling", Olena Syrota
Imagine an IoT processing system that is already quite mature and production-ready and for which client coverage is growing and scaling and performance aspects are life and death questions. The system has Redis, MongoDB, and stream processing based on ksqldb. In this talk, firstly, we will analyze scaling approaches and then select the proper ones for our system.
Recently uploaded (20)
"$10 thousand per minute of downtime: architecture, queues, streaming and fin...
"$10 thousand per minute of downtime: architecture, queues, streaming and fin...
Northern Engraving | Modern Metal Trim, Nameplates and Appliance Panels
Northern Engraving | Modern Metal Trim, Nameplates and Appliance Panels
Poznań ACE event - 19.06.2024 Team 24 Wrapup slidedeck
Poznań ACE event - 19.06.2024 Team 24 Wrapup slidedeck
Connector Corner: Seamlessly power UiPath Apps, GenAI with prebuilt connectors
Connector Corner: Seamlessly power UiPath Apps, GenAI with prebuilt connectors
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...
Dandelion Hashtable: beyond billion requests per second on a commodity server
Dandelion Hashtable: beyond billion requests per second on a commodity server
Session 1 - Intro to Robotic Process Automation.pdf
Session 1 - Intro to Robotic Process Automation.pdf
High performance Serverless Java on AWS- GoTo Amsterdam 2024
High performance Serverless Java on AWS- GoTo Amsterdam 2024
zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...
zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...
The Microsoft 365 Migration Tutorial For Beginner.pptx
The Microsoft 365 Migration Tutorial For Beginner.pptx
Nordic Marketo Engage User Group_June 13_ 2024.pptx
Nordic Marketo Engage User Group_June 13_ 2024.pptx
GraphRAG for LifeSciences Hands-On with the Clinical Knowledge Graph
GraphRAG for LifeSciences Hands-On with the Clinical Knowledge Graph
Introduction of Cybersecurity with OSS at Code Europe 2024
Introduction of Cybersecurity with OSS at Code Europe 2024
AppSec PNW: Android and iOS Application Security with MobSF
AppSec PNW: Android and iOS Application Security with MobSF
Astute Business Solutions | Oracle Cloud Partner |
Astute Business Solutions | Oracle Cloud Partner |
Northern Engraving | Nameplate Manufacturing Process - 2024
Northern Engraving | Nameplate Manufacturing Process - 2024
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...
Inductive Reasoning
- 11. Paper 50 Cans 30 10 Communities that recycle VENN DIAGRAM
- 24. p Λ q p ν q p q p q
- 37. IF IF THEN THEN It's a bird It has wings It has wings It's a bird It's a bird It has wings It lays eggs It lays eggs It lays eggs THEREFORE
- 44. 2 Column Proof Given: 3x + 5 2 Prove: x = 3 = 7 Statements Reasons
- 54. 2 Column Proof Given: PR = QS Prove: PQ = RS Statements Reasons P Q R S