Combining Texts

All the ideas for 'On the Infinite', 'Intentionality and the Physical: reply to Mumford' and 'The Passions of the Soul'

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19 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]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentionality is the mark of dispositions, not of the mental [Place]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The pineal gland links soul to body, and unites the two symmetrical sides of the body [Descartes, by PG]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
For Descartes passions are God-given preservers of the mind-body union [Descartes, by Taylor,C]
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
Are there a few primary passions (say, joy, sadness and desire)? [Descartes, by Cottingham]
There are six primitive passions: wonder, love, hatred, desire, joy and sadness [Descartes, by Goldie]
20. Action / B. Preliminaries of Action / 2. Willed Action / b. Volitionism
Merely willing to walk leads to our walking [Descartes]
22. Metaethics / B. Value / 2. Values / e. Death
We don't die because the soul departs; the soul departs because the organs cease functioning [Descartes]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Descartes makes strength of will the central virtue [Descartes, by Taylor,C]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Dispositions are not general laws, but laws of the natures of individual entities [Place]