Combining Texts

All the ideas for 'Explaining the A Priori', 'Frege versus Cantor and Dedekind' and 'Of Organum or Ars Magna of Thinking'

expand these ideas     |    start again     |     specify just one area for these texts

12 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
5021 An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
9978 Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
9986 The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
9984 We can have a series with identical members [Tait]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
5020 Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
17722 The concept 'red' is tied to what actually individuates red things [Peacocke]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9981 Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
9982 Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
9985 Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9972 Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
9980 If abstraction produces power sets, their identity should imply identity of the originals [Tait]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
5019 Supreme human happiness is the greatest possible increase of his perfection [Leibniz]