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| Term | Definition |
|---|---|
| Origin of word Logic | Logos - greek |
| logic | the science and art of right reasoning about reality / a tool to gain truth about reality |
| Aristotle’s logic | classical logic |
| Modern logic | mathematical logic |
| Classic logic first principles (3+1) are all... | basis for all proof, self-evident: cant be proven |
| Identity | Each thing is the same as itself and different from another |
| Law of excluded middle | Each thing either exists or does not exist (each proposition is either true or its negation is true) |
| Non-contradiction | A thing cannot exist and not exist at the same time and in the same relation |
| sufficient reason | There is a sufficient cause / reason for everything (from nothing, nothing comes) |
| Classic logic first principles | Identity, Law of excluded middle, Non-contradiction, and Sufficient Reason |
| Term | Part of classic logic, concept clarified in definition |
| Proposition | relates two judgments, 4 types (universal positive/negative, particular positive/negative) |
| Argument | Deduces conclusion from a right relationship between at least two propositions: |
| Valid Argument | Premises are true |
| Sound | Logic is true |
| Inductive reasoning | arrives at general or universal properties from particular experiences |
| Deductive reasoning | immediate inference, conclusion inferred from general/universal premesis |
| Dialectical reasoning | used when deductive proof can't be used (ad abducto absurdum) |
| Syllogism | more complex argument, 2 premises and a conclusion |
| Informal Fallacies | These do not result from the structure of the argument but from some other mistake in reasoning. |
| ad hominem | attacking the person |
| circular reasoning (begging question) | one reason assumes what it is supposed to prove (good, bad, just) |
| Red herring | changing the topic |
| Ad populum | appeal to popularity/authority |
| Modus Ponens | if P then Q. State P, therefore Q. (Affirming consequent is wrong version) |