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Work #1488 · Mid-career

Set Theory and Its Logic

Willard Van Orman Quine
1963 (revised 1969) · English
Mathematical-logical treatise · Philosophical logic / Quinean naturalism / foundations of mathematics

Quine's 1963 textbook-treatise on set theory — including his own NF / ML systems alongside ZF

Attribute Fingerprint

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Attribute Set Theory and Its Logic (Mid-career)
Time · Extent Infinite
Time · Ontological Status Substantival
Time · Grain Continuous
Time · Freedom Deterministic
Time · Traversability Linear
Time · Dimensionality One
Time · Direction Uni-directional
Space · Extent Infinite
Space · Ontological Status Substantival
Space · Curvature Curved
Space · Dimensionality Three
Space · Locality Local
Matter · Extent Finite
Matter · Ontological Status Substantival
Matter · Conservation Conserved
Matter · Dimensionality Three
Matter · Locality Local
Observer · Time Instance Single
Observer · Space Instance Single
Observer · Knowledge Extent Immediate
Observer · Knowledge Retainment Total
Observer · Physicality Embodied
Observer · Agency Passive
Observer · Number Plural
Observer · Metaphysical Agency Impersonal
Observer · Moral Authority Reason
Observer · Theological Method
Energy · Extent Finite
Energy · Ontological Status Substantival
Energy · Conservation Conserved
Energy · Dispersibility Irreversible
Information · Ontological Status Substantival
Information · Cosmic Conservation Conserved
Information · Personal Conservation Non-conserved
Information · Granularity Continuous

Dimension-by-Dimension Evidence

What each work's passages reveal about its stance on each of the six dimensions.

Time

Set Theory and Its Logic

1963 first edition; 1969 revised. Quine was 55 at first publication.

Space

Set Theory and Its Logic

Harvard — Quine's institutional base.

Matter

Set Theory and Its Logic

Textbook-treatise (~360 pages). Form is mixed textbook-philosophical: technical exposition of set theory with extensive philosophical commentary on the competing axiomatic systems.

Observer

Set Theory and Its Logic

Quine as systematic logician. The observer-philosopher is the most prominent American logician and the leading philosopher of mathematics in the post-positivist analytic tradition.

Energy

Set Theory and Its Logic

Systematic-pedagogical energies. The book combines pedagogical clarity (Quine was a master textbook writer) with substantive philosophical positioning.

Information

Set Theory and Its Logic

Single comprehensive treatise on set theory. The axiomatic-systems survey (Chapter VII) is the most-cited philosophical-mathematical content.

Internal Tensions

Where each work's argument pulls against itself.

Set Theory and Its Logic

Quine's most substantial contribution to the foundations of mathematics outside Mathematical Logic. Continuously used as a textbook and reference; the survey of competing axiomatic systems makes it one of the principal sources for the philosophical assessment of foundational alternatives in set theory.