display all the ideas for this combination of philosophers
2 ideas
9721 | A logical truth or tautology is a logical consequence of the empty set [Enderton] |
Full Idea: A is a logical truth (tautology) (|= A) iff it is a semantic consequence of the empty set of premises (φ |= A), that is, every interpretation makes A true. | |
From: Herbert B. Enderton (A Mathematical Introduction to Logic (2nd) [2001], 1.3.4) | |
A reaction: So the final column of every line of the truth table will be T. |
9994 | A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton] |
Full Idea: A truth assignment 'satisfies' a formula, or set of formulae, if it evaluates as True when all of its components have been assigned truth values. | |
From: Herbert B. Enderton (A Mathematical Introduction to Logic (2nd) [2001], 1.2) | |
A reaction: [very roughly what Enderton says!] The concept becomes most significant when a large set of wff's is pronounced 'satisfied' after a truth assignment leads to them all being true. |