Combining Texts

All the ideas for 'fragments/reports', 'On the Infinite' and 'Metaphysics: an introduction'

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21 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is a quest for truthmakers [Tallant]
2. Reason / D. Definition / 12. Paraphrase
Maybe number statements can be paraphrased into quantifications plus identities [Tallant]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
Maybe only 'positive' truths need truth-makers [Tallant]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
A truthmaker is the minimal portion of reality that will do the job [Tallant]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
What is the truthmaker for a possible new power? [Tallant]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Only the finite can bring certainty to the infinite [Hilbert]
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
The wisdom of Plato and of Socrates are not the same property [Tallant]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance must have two properties: individuation, and property-bearing [Tallant]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Are propositions all the thoughts and sentences that are possible? [Tallant]
19. Language / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]