Combining Texts
Ideas for
'Material Beings', 'Characteristics' and 'A Tour through Mathematical Logic'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
8 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL
13520
|
A 'tautology' must include connectives [Wolf,RS]
|
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / c. Derivation rules of PL
13524
|
Deduction Theorem: T∪{P}|-Q, then T|-(P→Q), which justifies Conditional Proof [Wolf,RS]
|
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
13522
|
Universal Generalization: If we prove P(x) with no special assumptions, we can conclude ∀xP(x) [Wolf,RS]
|
13521
|
Universal Specification: ∀xP(x) implies P(t). True for all? Then true for an instance [Wolf,RS]
|
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / e. Existential quantifier ∃
13523
|
Existential Generalization (or 'proof by example'): if we can say P(t), then we can say something is P [Wolf,RS]
|
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / e. Axiom of the Empty Set IV
13529
|
Empty Set: ∃x∀y ¬(y∈x). The unique empty set exists [Wolf,RS]
|
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13526
|
Comprehension Axiom: if a collection is clearly specified, it is a set [Wolf,RS]
|
4. Formal Logic / G. Formal Mereology / 1. Mereology
10662
|
Mereology is 'nihilistic' (just atoms) or 'universal' (no restrictions on what is 'whole') [Inwagen, by Varzi]
|