33 lines
1,015 B
Markdown
33 lines
1,015 B
Markdown
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---
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tags:
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- propositional-logic
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- logic
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---
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# Syllogism
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In order to make assertions about the relative
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[consistency](Logical_consistency.md) or inconsistency
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of a set of propositions we advance arguments. Consider everyday life: if we are
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having an argument with someone, we believe that they are wrong. A more logical
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way to say this is that we believe that their beliefs are inconsistent. In order
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to change their viewpoint or point out why they are wrong we advance an argument
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intended to show that belief A conflicts with belief B. Or if C is true, then
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you cannot believe that D.
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In formal terms **an argument is a set of propositions comprising one or more
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premises and a conclusion. The conclusion is taken to be supported by the
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premises.**
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> The terms **argument** and **syllogism** are used interchangeably in logic to
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> describe the above feature of a set of propositions.
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### Demonstration
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```
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(P1) All men are mortal.
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(P2) Socrates is a man.
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_____________________
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(C) Socrates is mortal
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```
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