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LOGIC
M A H R I R FA N A H M A D TA H I R
B . S C . , F C F M A ( PA K ) , M I PA ( A U S ) , A FA ( U K ) ,
O C P ( U S A ) , C D B M A ( P B )
INFERENCE
• With propositions as building blocks, we construct arguments. In any argument we
affirm one proposition on the basis of some other propositions. In doing this, an
inference is drawn. Inference is a process that may tie together a cluster of
propositions. Some inferences are warranted (or correct); others are not. The
analyzes these clusters, examining the propositions with which the process begins and
with which it ends, as well as the relations among these propositions.
• A process by which one proposition is arrived at and affirmed on the basis of some
other proposition or propositions.
ARGUMENTS
• Such a cluster of propositions constitutes an argument. Arguments are the chief
concern of logic. Argument is a technical term in logic. It need not involve
disagreement, or controversy. In logic, argument refers strictly to any group of
propositions of which one is claimed to follow from the others, which are regarded as
providing support for the truth of that one. For every possible inference there is a
corresponding argument.
• An argument is not merely a collection of propositions; it is a cluster with a structure
that captures or exhibits some inference.
• Argument Any group of propositions of which one is claimed to follow from the
others, which are regarded as providing support or grounds for the truth of that one.
CONCLUSION & PREMISES
• The conclusion of an argument is the proposition that is affirmed on the basis of the
other propositions of the argument.
• Conclusion In any argument, the proposition to which the other propositions in the
argument are claimed to give support, or for which they are given as reasons.
• Premises In an argument, the propositions upon which inference is based; the
propositions that are claimed to provide grounds or reasons for the conclusion.
• Propositions, which are affirmed (or assumed) as providing support for the conclusion,
are the premises of the argument.
SCIENCE OR ARTS
Is logic a science or an art or both explain?
• Logic itself is part of mathematics, one of the more basic parts. Logic can be applied
to art, and used artfully. All science must be logical. Logic is neither an art nor
a science, in itself; however, logic can be applied to each, and is a fundamental part of
any such endeavor.
• Specifically, logic as an art seeks to apply the principles of reasoning to analyze and
create arguments, proofs, and other chains of reasoning. ... Logic is the science and
art of reasoning well. Logic as a science seeks to discover rules of reasoning; logic as
an art seeks to apply those rules to rational discourse.
SCIENCE OR ARTS
Is logic a science or an art or both explain?
• Logic can be considered an art because, unlike mathematics and the empirical
sciences, it's about representing something subjective. Typically when people say
something is 'logical' they mean it makes sense to them, or that there's a pattern or
reasoning they can follow.
What is logic in science?
• Logic is the science of rational thinking or reasoning. As such, it includes foundation
the scientific method including the hypothetico-deductive account of science.
So, logic is not only the foundation of mathematics, but also of physics and other
branches of science.

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Logic_2.pptx

  • 1. LOGIC M A H R I R FA N A H M A D TA H I R B . S C . , F C F M A ( PA K ) , M I PA ( A U S ) , A FA ( U K ) , O C P ( U S A ) , C D B M A ( P B )
  • 2. INFERENCE • With propositions as building blocks, we construct arguments. In any argument we affirm one proposition on the basis of some other propositions. In doing this, an inference is drawn. Inference is a process that may tie together a cluster of propositions. Some inferences are warranted (or correct); others are not. The analyzes these clusters, examining the propositions with which the process begins and with which it ends, as well as the relations among these propositions. • A process by which one proposition is arrived at and affirmed on the basis of some other proposition or propositions.
  • 3. ARGUMENTS • Such a cluster of propositions constitutes an argument. Arguments are the chief concern of logic. Argument is a technical term in logic. It need not involve disagreement, or controversy. In logic, argument refers strictly to any group of propositions of which one is claimed to follow from the others, which are regarded as providing support for the truth of that one. For every possible inference there is a corresponding argument. • An argument is not merely a collection of propositions; it is a cluster with a structure that captures or exhibits some inference. • Argument Any group of propositions of which one is claimed to follow from the others, which are regarded as providing support or grounds for the truth of that one.
  • 4. CONCLUSION & PREMISES • The conclusion of an argument is the proposition that is affirmed on the basis of the other propositions of the argument. • Conclusion In any argument, the proposition to which the other propositions in the argument are claimed to give support, or for which they are given as reasons. • Premises In an argument, the propositions upon which inference is based; the propositions that are claimed to provide grounds or reasons for the conclusion. • Propositions, which are affirmed (or assumed) as providing support for the conclusion, are the premises of the argument.
  • 5. SCIENCE OR ARTS Is logic a science or an art or both explain? • Logic itself is part of mathematics, one of the more basic parts. Logic can be applied to art, and used artfully. All science must be logical. Logic is neither an art nor a science, in itself; however, logic can be applied to each, and is a fundamental part of any such endeavor. • Specifically, logic as an art seeks to apply the principles of reasoning to analyze and create arguments, proofs, and other chains of reasoning. ... Logic is the science and art of reasoning well. Logic as a science seeks to discover rules of reasoning; logic as an art seeks to apply those rules to rational discourse.
  • 6. SCIENCE OR ARTS Is logic a science or an art or both explain? • Logic can be considered an art because, unlike mathematics and the empirical sciences, it's about representing something subjective. Typically when people say something is 'logical' they mean it makes sense to them, or that there's a pattern or reasoning they can follow. What is logic in science? • Logic is the science of rational thinking or reasoning. As such, it includes foundation the scientific method including the hypothetico-deductive account of science. So, logic is not only the foundation of mathematics, but also of physics and other branches of science.