Combining Texts

All the ideas for 'works', 'Abstract of 'The Fourfold Root'' and 'On the Infinite'

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

27 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
4187 'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
12456 I aim to establish certainty for mathematical methods [Hilbert]
12461 We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
9633 No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
12460 We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
12462 Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
12455 The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
12457 There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
12459 The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
18112 Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
22121 The concept of being has only one meaning, whether talking of universals or of God [Duns Scotus, by Dumont]
22122 Being (not sensation or God) is the primary object of the intellect [Duns Scotus, by Dumont]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
22125 Duns Scotus was a realist about universals [Duns Scotus, by Dumont]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
22127 Scotus said a substantial principle of individuation [haecceitas] was needed for an essence [Duns Scotus, by Dumont]
9. Objects / D. Essence of Objects / 2. Types of Essence
22126 Avicenna and Duns Scotus say essences have independent and prior existence [Duns Scotus, by Dumont]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
4192 All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
11. Knowledge Aims / A. Knowledge / 2. Understanding
4190 All understanding is an immediate apprehension of the causal relation [Schopenhauer]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
22129 Certainty comes from the self-evident, from induction, and from self-awareness [Duns Scotus, by Dumont]
9636 My theory aims at the certitude of mathematical methods [Hilbert]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
22130 Scotus defended direct 'intuitive cognition', against the abstractive view [Duns Scotus, by Dumont]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
22128 Augustine's 'illumination' theory of knowledge leads to nothing but scepticism [Duns Scotus, by Dumont]
16. Persons / C. Self-Awareness / 2. Knowing the Self
4191 What we know in ourselves is not a knower but a will [Schopenhauer]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
21368 The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
16. Persons / F. Free Will / 2. Sources of Free Will
22131 The will retains its power for opposites, even when it is acting [Duns Scotus, by Dumont]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
4189 Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]
28. God / A. Divine Nature / 2. Divine Nature
22123 The concept of God is the unique first efficient cause, final cause, and most eminent being [Duns Scotus, by Dumont]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
22124 We can't infer the infinity of God from creation ex nihilo [Duns Scotus, by Dumont]