### Ideas from 'W.V. Quine' by Alex Orenstein [2002], by Theme Structure

#### [found in 'W.V. Quine' by Orenstein,Alex [Princeton 2002,0-691-09606-6]].

Click on the Idea Number for the full details    |     back to texts     |     expand these ideas

###### 4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
 8472 Sentential logic is consistent (no contradictions) and complete (entirely provable)
###### 4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
 8476 Axiomatization simply picks from among the true sentences a few to play a special role
###### 4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
 8480 S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p'
###### 4. Formal Logic / F. Set Theory ST / 1. Set Theory
 8474 Unlike elementary logic, set theory is not complete
###### 4. Formal Logic / G. Formal Mereology / 1. Mereology
 8465 Mereology has been exploited by some nominalists to achieve the effects of set theory
###### 5. Theory of Logic / G. Quantification / 1. Quantification
 8452 Traditionally, universal sentences had existential import, but were later treated as conditional claims
###### 5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
 8475 The substitution view of quantification says a sentence is true when there is a substitution instance
###### 6. Mathematics / A. Nature of Mathematics / 3. Numbers / b. Types of number
 8454 The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc.
###### 6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
 8473 The logicists held that is-a-member-of is a logical constant, making set theory part of logic
###### 7. Existence / E. Categories / 3. Proposed Categories
 8458 Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism
###### 14. Science / B. Scientific Theories / 1. Scientific Theory
 8457 The Principle of Conservatism says we should violate the minimum number of background beliefs
###### 19. Language / A. Nature of Meaning / 10. Denial of Meanings
 8477 People presume meanings exist because they confuse meaning and reference
###### 19. Language / C. Assigning Meanings / 3. Predicates
 8471 Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way
###### 19. Language / D. Propositions / 4. Mental Propositions
 8484 If two people believe the same proposition, this implies the existence of propositions