Combining Philosophers

All the ideas for Albert Camus, Peter Singer and David Hilbert

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59 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Life will be lived better if it has no meaning [Camus]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Suicide - whether life is worth living - is the one serious philosophical problem [Camus]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
To an absurd mind reason is useless, and there is nothing beyond reason [Camus]
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 / A. Overview of Logic / 3. Value of Logic
Logic is easy, but what about logic to the point of death? [Camus]
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]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
16. Persons / F. Free Will / 1. Nature of Free Will
Whether we are free is uninteresting; we can only experience our freedom [Camus]
16. Persons / F. Free Will / 6. Determinism / b. Fate
The human heart has a tiresome tendency to label as fate only what crushes it [Camus]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is universalisable - it must involve an impartial and universal view of things [Singer]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Following an inner voice for morality is irresponsible in a rational agent [Singer]
22. Metaethics / B. Value / 2. Values / c. Life
The sanctity of a human life depends either on being of our species, or on being a person [Singer]
22. Metaethics / B. Value / 2. Values / g. Love
The more one loves the stronger the absurd grows [Camus]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
'Marginal utility' says something is more useful if it is in short supply [Singer]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Why should I do anything for posterity? What has posterity ever done for me? [Singer]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
One can be virtuous through a whim [Camus]
23. Ethics / D. Deontological Ethics / 1. Deontology
Conflict of rules might be avoided by greater complexity, or by a hierarchy of rules [Singer]
23. Ethics / F. Existentialism / 2. Nihilism
If we believe existence is absurd, this should dictate our conduct [Camus]
Happiness and the absurd go together, each leading to the other [Camus]
23. Ethics / F. Existentialism / 4. Boredom
Psychopaths may just be bored, because they cannot participate in normal emotional life [Singer]
23. Ethics / F. Existentialism / 7. Existential Action
Essential problems either risk death, or intensify the passion of life [Camus]
Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
You can't condemn violent revolution without assessing the evils it prevents [Singer]
In Marxism the state will be superseded [Singer]
24. Political Theory / D. Ideologies / 5. Democracy / e. Democratic minorities
If 49% of the population can be wrong, so can 51% [Singer]
24. Political Theory / D. Ideologies / 9. Communism
Materialist history says we are subject to incomprehensible forces [Singer]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality of interests is a minimal principle, not implying equal treatment [Singer]
25. Social Practice / B. Equalities / 4. Economic equality
Equality of opportunity unfairly rewards those lucky enough to have great ability [Singer]
25. Social Practice / C. Rights / 1. Basis of Rights
If a right entails having the relevant desire, many creatures might have no right to life [Singer]
25. Social Practice / F. Life Issues / 3. Abortion
Why should a potential person have the rights of an actual person? [Singer]
25. Social Practice / F. Life Issues / 4. Suicide
It is essential to die unreconciled and not of one's own free will [Camus]
25. Social Practice / F. Life Issues / 6. Animal Rights
Killing a chimp is worse than killing a human too defective to be a person [Singer]
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]