Combining Philosophers

All the ideas for Pherecydes, Sren Kierkegaard and David Hilbert

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78 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Fixed ideas should be tackled aggressively [Kierkegaard]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
I conceived it my task to create difficulties everywhere [Kierkegaard]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy fails to articulate the continual becoming of existence [Kierkegaard, by Carlisle]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Wherever there is painless contradiction there is also comedy [Kierkegaard]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Philosophy can't be unbiased if it ignores language, as that is no more independent than individuals are [Kierkegaard]
3. Truth / A. Truth Problems / 2. Defining Truth
Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
3. Truth / A. Truth Problems / 3. Value of Truth
Pure truth is for infinite beings only; I prefer endless striving for truth [Kierkegaard]
3. Truth / A. Truth Problems / 8. Subjective Truth
Subjective truth can only be sustained by repetition [Kierkegaard, by Carlisle]
I recognise knowledge, but it is the truth by which I can live and die that really matters [Kierkegaard]
Traditional views of truth are tautologies, and truth is empty without a subject [Kierkegaard, by Scruton]
The highest truth we can get is uncertainty held fast by an inward passion [Kierkegaard]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
If axioms and their implications have no contradictions, they pass my criterion of truth and existence [Hilbert]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
You would cripple mathematics if you denied Excluded Middle [Hilbert]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
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 / B. Foundations for Mathematics / 2. Proof in Mathematics
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Number theory just needs calculation laws and rules for integers [Hilbert]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
7. Existence / A. Nature of Existence / 5. Reason for Existence
I assume existence, rather than reasoning towards it [Kierkegaard]
10. Modality / A. Necessity / 2. Nature of Necessity
Nothing necessary can come into existence, since it already 'is' [Kierkegaard]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
16. Persons / B. Nature of the Self / 2. Ethical Self
The real subject is ethical, not cognitive [Kierkegaard]
16. Persons / B. Nature of the Self / 3. Self as Non-physical
The self is a combination of pairs of attributes: freedom/necessity, infinite/finite, temporal/eternal [Kierkegaard]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Socrates neglects the gap between knowing what is good and doing good [Kierkegaard, by Carlisle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]
22. Metaethics / B. Value / 2. Values / g. Love
Perfect love is not in spite of imperfections; the imperfections must be loved as well [Kierkegaard]
If people marry just because they are lonely, that is self-love, not love [Kierkegaard]
23. Ethics / F. Existentialism / 1. Existentialism
While big metaphysics is complete without ethics, personal philosophy emphasises ethics [Kierkegaard]
Speculative philosophy loses the individual in a vast vision of humanity [Kierkegaard]
23. Ethics / F. Existentialism / 2. Nihilism
For me time stands still, and I with it [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 3. Angst
Anxiety is not a passing mood, but a response to human freedom [Kierkegaard, by Carlisle]
The ultimate in life is learning to be anxious in the right way [Kierkegaard]
Ultimate knowledge is being anxious in the right way [Kierkegaard]
Anxiety is staring into the yawning abyss of freedom [Kierkegaard]
23. Ethics / F. Existentialism / 4. Boredom
Our destiny is the highest pitch of world-weariness [Kierkegaard]
The plebeians bore others; only the nobility bore themselves [Kierkegaard]
23. Ethics / F. Existentialism / 5. Existence-Essence
Reason is just abstractions, so our essence needs a subjective 'leap of faith' [Kierkegaard, by Scruton]
23. Ethics / F. Existentialism / 6. Authentic Self
There are aesthetic, ethical and religious subjectivity [Kierkegaard, by Carlisle]
People want to lose themselves in movements and history, instead of being individuals [Kierkegaard]
Becoming what one is is a huge difficulty, because we strongly aspire to be something else [Kierkegaard]
23. Ethics / F. Existentialism / 7. Existential Action
What matters is not right choice, but energy, earnestness and pathos in the choosing [Kierkegaard]
Life may be understood backwards, but it has to be lived forwards [Kierkegaard]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Life is a repetition when what has been now becomes [Kierkegaard]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
When we seek our own 'freedom' we are just trying to avoid responsibility [Kierkegaard]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Kierkegaard prioritises the inward individual, rather than community [Kierkegaard, by Carlisle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Pherecydes said the first principle and element is earth [Pherecydes, by Sext.Empiricus]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]
28. God / A. Divine Nature / 2. Divine Nature
God does not think or exist; God creates, and is eternal [Kierkegaard]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Either Abraham rises higher than universal ethics, or he is a mere murderer [Kierkegaard]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
Abraham was willing to suspend ethics, for a higher idea [Kierkegaard]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
God cannot be demonstrated objectively, because God is a subject, only existing inwardly [Kierkegaard]
28. God / C. Attitudes to God / 2. Pantheism
Pantheism destroys the distinction between good and evil [Kierkegaard]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The best way to be a Christian is without 'Christianity' [Kierkegaard]
We need to see that Christianity cannot be understood [Kierkegaard]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Faith is like a dancer's leap, going up to God, but also back to earth [Kierkegaard, by Carlisle]
Faith is the highest passion in the sphere of human subjectivity [Kierkegaard]
Without risk there is no faith [Kierkegaard]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Pherecydes was the first to say that the soul is eternal [Pherecydes, by Cicero]