Ideas from 'Philosophy of Logic' by Willard Quine [1970], by Theme Structure
[found in 'Philosophy of Logic' by Quine,Willard [PrenticeHall 1970,013663625x]].
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2. Reason / B. Laws of Thought / 3. NonContradiction
9023

If you say that a contradiction is true, you change the meaning of 'not', and so change the subject

3. Truth / F. Semantic Truth / 2. Semantic Truth
9012

Talk of 'truth' when sentences are mentioned; it reminds us that reality is the point of sentences

3. Truth / H. Deflationary Truth / 1. Redundant Truth
9011

Truth is redundant for single sentences; we do better to simply speak the sentence

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
9013

We can eliminate 'or' from our basic theory, by paraphrasing 'p or q' as 'not(notp and notq)'

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9020

My logical grammar has sentences by predication, then negation, conjunction, and existential quantification

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
9028

Maybe logical truth reflects reality, but in different ways in different languages

5. Theory of Logic / A. Overview of Logic / 7. SecondOrder Logic
10014

Quine rejects secondorder logic, saying that predicates refer to multiple objects

10828

Quantifying over predicates is treating them as names of entities

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9024

Excluded middle has three different definitions

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
10012

Quantification theory can still be proved complete if we add identity

5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
9016

Names are not essential, because naming can be turned into predication

5. Theory of Logic / G. Quantification / 1. Quantification
9015

Universal quantification is widespread, but it is definable in terms of existential quantification

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
9025

You can't base quantification on substituting names for variables, if the irrationals cannot all be named

9026

Some quantifications could be false substitutionally and true objectually, because of nameless objects

5. Theory of Logic / G. Quantification / 5. SecondOrder Quantification
10705

Putting a predicate letter in a quantifier is to make it the name of an entity

5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9027

A sentence is logically true if all sentences with that grammatical structure are true

8. Modes of Existence / B. Properties / 12. Denial of Properties
9017

Predicates are not names; predicates are the other parties to predication

9. Objects / A. Existence of Objects / 1. Physical Objects
9018

A physical object is the fourdimensional material content of a portion of spacetime

9. Objects / E. Objects over Time / 4. FourDimensionalism
9019

Fourd objects helps predication of what no longer exists, and quantification over items from different times

10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
9014

Some conditionals can be explained just by negation and conjunction: not(p and notq)

19. Language / B. Meaning / 11. Synonymy
9009

Single words are strongly synonymous if their interchange preserves truth

19. Language / E. Propositions / 5. Propositions Critique
9008

There is no rule for separating the information from other features of sentences

9007

It makes no sense to say that two sentences express the same proposition

9010

We can abandon propositions, and just talk of sentences and equivalence

19. Language / H. Pragmatics / 5. Contextual Meaning
9021

A good way of explaining an expression is saying what conditions make its contexts true
