Combining Texts

All the ideas for 'reports', 'Frege versus Cantor and Dedekind' and 'Theories of Truth: a Critical Introduction'

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16 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
3. Truth / A. Truth Problems / 5. Truth Bearers
There are at least fourteen candidates for truth-bearers [Kirkham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
A 'sequence' of objects is an order set of them [Kirkham]
If one sequence satisfies a sentence, they all do [Kirkham]
3. Truth / F. Semantic Truth / 2. Semantic Truth
If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
In quantified language the components of complex sentences may not be sentences [Kirkham]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
An open sentence is satisfied if the object possess that property [Kirkham]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Why can there not be disjunctive, conditional and negative facts? [Kirkham]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]