Combining Texts

All the ideas for 'Internalism Exposed', 'Letters to Johann Bernoulli' and 'Mathematics and Philosophy: grand and little'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
A piece of flint contains something resembling perceptions and appetites [Leibniz]
Entelechies are analogous to souls, as other minds are analogous to our own minds [Leibniz]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
What we cannot imagine may still exist [Leibniz]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
We can't only believe things if we are currently conscious of their justification - there are too many [Goldman]
Internalism must cover Forgotten Evidence, which is no longer retrievable from memory [Goldman]
Internal justification needs both mental stability and time to compute coherence [Goldman]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Coherent justification seems to require retrieving all our beliefs simultaneously [Goldman]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Reliability involves truth, and truth is external [Goldman]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]
22. Metaethics / B. Value / 2. Values / e. Death
Death is just the contraction of an animal [Leibniz]