All Logic, No Bite

6 days ago

Formal logic is a system for drawing conclusions from premises, often unfamiliar outside of mathematics and certain computer science fields.
Mathematicians use formal logic to remove ambiguities in proofs, particularly with conditional statements like 'if A then B'.
In formal logic, 'if A then B' implies its contrapositive 'if not B then not A', but not its inverse or converse.
Logic can be used to construct mathematical systems, such as real numbers, from axioms without relying on physical intuition.
Boolean algebra in computing operates on binary values with operators like NOT, AND, and OR, and can be related to set theory.
Propositional logic deals with statements that have binary truth values and uses connectives like implication and equivalence.
First-order logic extends propositional logic with predicates, quantifiers, and functions to generalize over objects.
Non-standard logic systems exist, such as those rejecting the law of excluded middle, but are less commonly used.

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