Combining Texts

All the ideas for 'Aristotle on Essence and Explanation', 'On 'Generation and Corruption'' and 'On the Infinite'

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16 ideas

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
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]
Only the finite can bring certainty to the infinite [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]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Jones may cease to exist without some simple property, but that doesn't make it essential [Kung]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
A property may belong essentially to one thing and contingently to another [Kung]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities are the cause of all the other sensible qualities [Albertus Magnus]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung]
Some non-essential properties may explain more than essential-but-peripheral ones do [Kung]