The document discusses categorical syllogisms, which are deductive arguments with three categorical propositions and three terms. It covers standard form, Venn diagrams for testing validity, and the 15 valid forms of categorical syllogisms. It also discusses syllogistic rules for avoiding fallacies and questions for discussing syllogisms.
This document defines and explains syllogisms, which are deductive arguments with two premises and a conclusion. It covers the key components of syllogisms including terms, figures, moods, and validity rules. The four figures refer to the position of the middle term in the premises, and the mood depends on whether the terms are universal or particular in each proposition. Only certain combinations of moods under each figure result in valid deductive arguments. Examples are provided to illustrate each type of valid syllogism.
The document discusses syllogisms, which are logical arguments with two premises and a conclusion. It defines the key components of a syllogism, including terms, validity, categorical propositions, and the four figures or patterns that a syllogism can take. Rules for syllogisms are also outlined, such as that the middle term must be distributed at least once and premises and conclusions must align in terms of positive and negative forms.
This document discusses categorical syllogisms and their standard form. It defines a categorical syllogism as a deductive argument composed of three categorical propositions, where one proposition serves as the conclusion and the other two as premises. A standard form categorical syllogism must meet specific criteria, such as having only three terms and the terms appearing in specific propositions. The document outlines two methods for determining if a syllogism is valid: the rule method which checks for logical fallacies, and using Venn diagrams to represent class relationships.
This document provides an overview of categorical syllogisms including their standard form, terms, mood and figure identification, validity testing using Venn diagrams, syllogistic rules and fallacies, and the 15 valid syllogistic forms. Key concepts covered are the three terms of the syllogism, using Venn diagrams to represent syllogisms and check their validity, and identifying the mood and figure of syllogisms. Examples are provided to demonstrate these syllogistic concepts.
The document discusses categorical syllogisms, including:
1. An example of a categorical syllogism in standard form and the four conditions it must meet.
2. The mood and figure of categorical syllogisms determine their validity.
3. Validity can be tested using Venn diagrams or by applying Boolean rules such as requiring the middle term be distributed at least once.
This document discusses the structure and rules of categorical syllogisms. It explains that a categorical syllogism has three terms - the major term, minor term, and middle term. The major term is the predicate of the conclusion, the minor term is the subject of the conclusion, and the middle term occurs in both premises but not the conclusion. It then lists 10 rules that categorical syllogisms must follow regarding the terms, propositions, quantity, and existential import. Examples are provided to illustrate valid and invalid syllogisms.
This document defines and explains syllogisms, which are deductive arguments with two premises and a conclusion. It covers the key components of syllogisms including terms, figures, moods, and validity rules. The four figures refer to the position of the middle term in the premises, and the mood depends on whether the terms are universal or particular in each proposition. Only certain combinations of moods under each figure result in valid deductive arguments. Examples are provided to illustrate each type of valid syllogism.
The document discusses syllogisms, which are logical arguments with two premises and a conclusion. It defines the key components of a syllogism, including terms, validity, categorical propositions, and the four figures or patterns that a syllogism can take. Rules for syllogisms are also outlined, such as that the middle term must be distributed at least once and premises and conclusions must align in terms of positive and negative forms.
This document discusses categorical syllogisms and their standard form. It defines a categorical syllogism as a deductive argument composed of three categorical propositions, where one proposition serves as the conclusion and the other two as premises. A standard form categorical syllogism must meet specific criteria, such as having only three terms and the terms appearing in specific propositions. The document outlines two methods for determining if a syllogism is valid: the rule method which checks for logical fallacies, and using Venn diagrams to represent class relationships.
This document provides an overview of categorical syllogisms including their standard form, terms, mood and figure identification, validity testing using Venn diagrams, syllogistic rules and fallacies, and the 15 valid syllogistic forms. Key concepts covered are the three terms of the syllogism, using Venn diagrams to represent syllogisms and check their validity, and identifying the mood and figure of syllogisms. Examples are provided to demonstrate these syllogistic concepts.
The document discusses categorical syllogisms, including:
1. An example of a categorical syllogism in standard form and the four conditions it must meet.
2. The mood and figure of categorical syllogisms determine their validity.
3. Validity can be tested using Venn diagrams or by applying Boolean rules such as requiring the middle term be distributed at least once.
This document discusses the structure and rules of categorical syllogisms. It explains that a categorical syllogism has three terms - the major term, minor term, and middle term. The major term is the predicate of the conclusion, the minor term is the subject of the conclusion, and the middle term occurs in both premises but not the conclusion. It then lists 10 rules that categorical syllogisms must follow regarding the terms, propositions, quantity, and existential import. Examples are provided to illustrate valid and invalid syllogisms.
- A categorical proposition relates two classes or categories, asserting whether all, part, or none of one class is included in or excluded from the other class.
- There are four standard forms of categorical propositions: All, No, Some, Some...not.
- A categorical syllogism is a formal deductive argument with three terms - major, minor, and middle - and three statements following rules about term distribution and relationship between premises and conclusion.
Here is a valid syllogism with mood OAO in figure 3:
O - Some viruses are not things capable of replicating by themselves
A - All viruses are structures that invade cells
O - Some structures that invade cells are not things capable of replicating by
themselves
Lecture 2 - Nature and use of argument.pptxsharmi28it
This document discusses key concepts related to arguments including the three uses of language (informative, expressive, directive), different types of statements (existent and relational), deductive and inductive arguments, logical indicators, fallacies, and the use of Venn diagrams and analogy to analyze arguments. It notes that arguments can be used in research to introduce problems, examine issues, present findings, and draw conclusions. Deductive arguments infer general truths from specific premises while inductive arguments go from specific to general. Logic and consistency are important to evaluate arguments and identify potential fallacies.
The document outlines five rules for determining the validity of syllogisms:
1) The middle term must be distributed at least once. If not, it commits the fallacy of the undistributed middle.
2) Terms distributed in the conclusion must also be distributed in the premises, otherwise it commits the fallacy of illicit major/minor.
3) Syllogisms cannot have two negative premises or it commits the fallacy of exclusive premises.
4) A negative premise requires a negative conclusion and vice versa, otherwise it commits the fallacy of drawing an affirmative/negative conclusion from negative/affirmative premises.
5) If both premises are universal, the conclusion cannot be particular or it
This document discusses various forms of deductive and inductive logic that are important in legal reasoning, including deductive forms like modus ponens, modus tollens, disjunctive syllogism, and hypothetical syllogism. It also discusses informal arguments like analogy, induction, abduction, and conductive reasoning. Finally, it covers common logical fallacies seen in legal arguments such as appeal to authority, appeal to pity, hasty generalization, and begging the question. The document is intended as an overview of logical concepts for lawyers.
This document provides an overview of categorical syllogisms including:
- The definition and standard form of categorical syllogisms.
- Explanations of mood, figure, valid and invalid forms.
- Rules for determining validity, including the distribution of terms and fallacies that can occur when rules are violated.
- Historical context on Aristotle's original formulation of rules for validity and a poem used by medieval students to memorize valid forms.
Easiest Way to Write a Thesis StatementCustomWriting
This useful and detailed guide will help you create great thesis statements easily and without any trouble at all!
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Based from the book : "Logic Made Simple for Filipinos" by Florentino Timbreza here is the summary made into powerpoint of Lesson 12: The Categorical Syllogism.
It Includes:
Introduction to categorical syllogism
General Axioms of the Syllogism
Eight Syllogistic Rules
Figures and Moods of the Categorical Syllogism
Examples in these slides are our own, there were no examples derived from the book.
This document discusses common errors in scientific writing. It provides examples of grammatical errors to avoid, such as inconsistent use of singular and plural forms. Maintaining the correct tense is also important when describing experiments and results. Reading work aloud can help identify issues with clarity or flow. Using concise language and avoiding unnecessary words improves writing quality.
This document discusses common errors in scientific writing. It provides examples of grammatical errors to avoid, such as inconsistent use of singular and plural forms. Maintaining the correct tense is also important when describing experiments and results. Reading work aloud can help identify issues with clarity or flow. Using concise language and avoiding unnecessary words improves writing quality.
This presentation contains my one day lectures which introduces fuzzy set theory, operations on fuzzy sets, some engineering control applications using Mamdamn model.
This document discusses various logics, including Aristotelian logic, Euclidean geometry, propositional logic, and first-order logic. It examines concepts such as validity, soundness, interpretations, and possible worlds in different logical systems. Key points made include that Aristotelian logic has 15 unconditionally valid categorical syllogisms and 9 conditionally valid ones, and that interpretations assign meanings to symbols in a logic to determine if statements are true or valid under that interpretation.
Logic is the science of reasoning. There are three laws of thought: the law of identity, the law of contradiction, and the law of excluded middle. There are two inferential processes in logic: immediate deductive inference such as conversion and obversion, and mediate deductive inference using syllogisms. Induction involves generalizing from particular instances and establishing causal relationships through methods like agreement, difference, and concomitant variation. Scientific theories are conjectures that can be falsified, not proven absolutely true, with science progressing through falsification and modification of theories.
The document discusses categorical syllogisms and logical fallacies. It defines a categorical syllogism as having two premises and one conclusion, where each proposition is in one of four forms: A, E, I, or O. It explains the terms, premises, and rules of syllogisms. It then discusses formal fallacies as errors of logical form and informal fallacies as errors of language. Examples are provided of fallacies of ambiguity, relevance, and presumption.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
- A categorical proposition relates two classes or categories, asserting whether all, part, or none of one class is included in or excluded from the other class.
- There are four standard forms of categorical propositions: All, No, Some, Some...not.
- A categorical syllogism is a formal deductive argument with three terms - major, minor, and middle - and three statements following rules about term distribution and relationship between premises and conclusion.
Here is a valid syllogism with mood OAO in figure 3:
O - Some viruses are not things capable of replicating by themselves
A - All viruses are structures that invade cells
O - Some structures that invade cells are not things capable of replicating by
themselves
Lecture 2 - Nature and use of argument.pptxsharmi28it
This document discusses key concepts related to arguments including the three uses of language (informative, expressive, directive), different types of statements (existent and relational), deductive and inductive arguments, logical indicators, fallacies, and the use of Venn diagrams and analogy to analyze arguments. It notes that arguments can be used in research to introduce problems, examine issues, present findings, and draw conclusions. Deductive arguments infer general truths from specific premises while inductive arguments go from specific to general. Logic and consistency are important to evaluate arguments and identify potential fallacies.
The document outlines five rules for determining the validity of syllogisms:
1) The middle term must be distributed at least once. If not, it commits the fallacy of the undistributed middle.
2) Terms distributed in the conclusion must also be distributed in the premises, otherwise it commits the fallacy of illicit major/minor.
3) Syllogisms cannot have two negative premises or it commits the fallacy of exclusive premises.
4) A negative premise requires a negative conclusion and vice versa, otherwise it commits the fallacy of drawing an affirmative/negative conclusion from negative/affirmative premises.
5) If both premises are universal, the conclusion cannot be particular or it
This document discusses various forms of deductive and inductive logic that are important in legal reasoning, including deductive forms like modus ponens, modus tollens, disjunctive syllogism, and hypothetical syllogism. It also discusses informal arguments like analogy, induction, abduction, and conductive reasoning. Finally, it covers common logical fallacies seen in legal arguments such as appeal to authority, appeal to pity, hasty generalization, and begging the question. The document is intended as an overview of logical concepts for lawyers.
This document provides an overview of categorical syllogisms including:
- The definition and standard form of categorical syllogisms.
- Explanations of mood, figure, valid and invalid forms.
- Rules for determining validity, including the distribution of terms and fallacies that can occur when rules are violated.
- Historical context on Aristotle's original formulation of rules for validity and a poem used by medieval students to memorize valid forms.
Easiest Way to Write a Thesis StatementCustomWriting
This useful and detailed guide will help you create great thesis statements easily and without any trouble at all!
Great tips created by our academic professionals with over 6 years of experience.
Looking for more academic help?
Check out our website: www.custom-writing.org
Based from the book : "Logic Made Simple for Filipinos" by Florentino Timbreza here is the summary made into powerpoint of Lesson 12: The Categorical Syllogism.
It Includes:
Introduction to categorical syllogism
General Axioms of the Syllogism
Eight Syllogistic Rules
Figures and Moods of the Categorical Syllogism
Examples in these slides are our own, there were no examples derived from the book.
This document discusses common errors in scientific writing. It provides examples of grammatical errors to avoid, such as inconsistent use of singular and plural forms. Maintaining the correct tense is also important when describing experiments and results. Reading work aloud can help identify issues with clarity or flow. Using concise language and avoiding unnecessary words improves writing quality.
This document discusses common errors in scientific writing. It provides examples of grammatical errors to avoid, such as inconsistent use of singular and plural forms. Maintaining the correct tense is also important when describing experiments and results. Reading work aloud can help identify issues with clarity or flow. Using concise language and avoiding unnecessary words improves writing quality.
This presentation contains my one day lectures which introduces fuzzy set theory, operations on fuzzy sets, some engineering control applications using Mamdamn model.
This document discusses various logics, including Aristotelian logic, Euclidean geometry, propositional logic, and first-order logic. It examines concepts such as validity, soundness, interpretations, and possible worlds in different logical systems. Key points made include that Aristotelian logic has 15 unconditionally valid categorical syllogisms and 9 conditionally valid ones, and that interpretations assign meanings to symbols in a logic to determine if statements are true or valid under that interpretation.
Logic is the science of reasoning. There are three laws of thought: the law of identity, the law of contradiction, and the law of excluded middle. There are two inferential processes in logic: immediate deductive inference such as conversion and obversion, and mediate deductive inference using syllogisms. Induction involves generalizing from particular instances and establishing causal relationships through methods like agreement, difference, and concomitant variation. Scientific theories are conjectures that can be falsified, not proven absolutely true, with science progressing through falsification and modification of theories.
The document discusses categorical syllogisms and logical fallacies. It defines a categorical syllogism as having two premises and one conclusion, where each proposition is in one of four forms: A, E, I, or O. It explains the terms, premises, and rules of syllogisms. It then discusses formal fallacies as errors of logical form and informal fallacies as errors of language. Examples are provided of fallacies of ambiguity, relevance, and presumption.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
2. 1 Standard-Form Categorical Syllogisms
2 The Formal Nature of Syllogistic Argument
3 Venn Diagram Technique for Testing
Syllogisms
4 Syllogistic Rules and Syllogistic Fallacies
5 Exposition of the Fifteen Valid Forms of the
Categorical Syllogism
3. •Syllogism:
Any deductive argument in which a conclusion is inferred from two
premises.
•Categorical Syllogism:
A deductive argument consisting of three categorical propositions that
together contain exactly three terms, each of which occurs in exactly
two of the constituent propositions.
4. Standard Form
It will be convenient to have an example to use as we discuss the parts and
features of the syllogism. Here is a valid standard-form categorical syllogism
that we shall use as an illustration:
• No heroes are cowards.
• Some soldiers are cowards.
• Therefore some soldiers are not heroes.
To analyze such an argument accurately, it needs to be in standard form. A
categoric syllogism is said to be in standard form (as the above example is)
when two things are true of it:
(1) its premises and its conclusion are all standard-formcategorical
propositions (A, E, I, or O);
(2) those propositions are arranged in a specified standard order.
5.
6.
7.
8.
9.
10.
11.
12. Venn Diagrams
• Label the 3 circles of a Venn Diagram with the syllogism’s 3 terms
• Diagram both premises, starting with the universal premise
• Inspect the diagram to see whether the diagram of the premises
contains a diagram of the conclusion
13. Rules and Fallacies
• Rule 1 . Avoid using 4 terms (even unintentionally)
• Power tends to corrupt
• Knowledge is power
• Knowledge tends to corrupt
• Although this seems to have 3 terms, it actually has 4 since the word power is
being used in 2 different ways. In the first sense it means control over things
or people; in the second it means the ability to control things.
14. Rules and Fallacies
• Rule 2. Distribute the middle term in at least one premise.
• If the middle term is not distributed into at least one premise, the
connection required by the conclusion cannot be made.
• Fallacy of the undistributed middle:
• All sharks are fish
• All salmon are fish
• Therefore, all sharks are salmon
• The middle term is what connects the major and minor terms. If the middle term is
not distributed, then the major and minor terms might be related to different parts
of the M class, thus giving no common ground between the S and P.
15. Rules and Fallacies
• Rule 3. Any term distributed in the conclusion must
be distributed in the premises.
• When the conclusion distributes a term that was
undistributed in the premises, it says more about the
term than the premise did.
• Fallacy of illicit process
• All tigers are mammals
• All mammals are animals
• Therefore, all animals are tigers
16. Rules and Fallacies
• Rule 4. Avoid two negative premises.
• 2 premises asserting exclusion cannot provide the linkage that the
conclusion asserts.
• Fallacy of the exclusive premises
• No fish are mammals
• Some dogs are not fish
• Some dogs are not mammals
• If the premises are both negative then the relationship between P and S is
denied. The conclusion cannot, therefore, say anything in a positive manner.
That information goes beyond what is contained in the premises.
17. Rules and Fallacies
• Rule 5. If either premise is negative, the conclusion must be
negative.
• Class inclusion can only be stated by affirmative propositions
• Fallacy of drawing an affirmative conclusion from a negative premise
• All crows are birds
• Some wolves are not crows
• Some wolves are birds
18. Rules and Fallacies
• Rule 6. From two universal premises no particular conclusion
may be drawn.
• Universal propositions have no existential import
• Particular propositions have existential import
• Cannot draw a conclusion with existential import from premises that
do not have existential import
• Existential fallacy
• All mammals are animals
• All tigers are mammals
• Some tigers are animals
19. Rules and Fallacies
Rule Fallacy Avoided
Rule 1. Avoid four terms. the fallacy of four terms
Rule 2. Distribute the middle in at least
one premise.
the fallacy of the undistributed middle
Rule 3. Any term distributed in the
conclusion must be distributed in the
premises
the fallacy of illicit process
illicit process of the major term (illicit
major)
illicit process of the minor term (illicit
minor)
Rule 4. Avoid two negative premises. the fallacy of exclusive premisses
Rule 5. If either premise is negative, the
conclusion must be negative.
the fallacy of drawing an affiermative
conclusion from a negative premiss
Rule 6. From two universal premises no
particular conclusion may be drawn.
the existential fallacy
20. 15 Valid Forms
• There are 64 possible moods
• There are 4 possible figures
• There are 64x4 = 256 possible logical forms
• Only 15 are valid
• It is possible, through a process of elimination, to prove that only
these 15 forms can avoid violating all six basic rules.
22. Questions for Discussion
• 1. “All good stereos are made in Japan, but no good stereos are inexpensive;
therefore, no Japanese stereos are inexpensive.” Rewrite this syllogism in
standard form, and name its mood and figure.
• 2. Come up with a random list of four possible moods; then, pick one of the four
figures and use it to produce four different syllogisms. Are any of the syllogisms
valid?
• 3. What is the method of logical analogies? Apply it to this argument to see if it is
valid: “No logic professors are successful politicians, because no conceited people
are successful politicians, and some logic professors are conceited people.”
• 4. Write out AOO-3 using S and P as the subject and predicate terms and M as the
middle term. (You may need to refer to the chart of the four syllogistic figures.)
• 5. Using the syllogistic form in question #4 (or any other form, if you like)
construct a Venn diagram to test it for validity.