Combining Philosophers

All the ideas for Eubulides, Alain Badiou and H.L.A. Hart

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46 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / c. Modern philosophy mid-period
In ontology, logic dominated language, until logic was mathematized [Badiou]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
1. Philosophy / D. Nature of Philosophy / 8. Humour
The female body, when taken in its entirety, is the Phallus itself [Badiou]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Consensus is the enemy of thought [Badiou]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Topos theory explains the plurality of possible logics [Badiou]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic is a mathematical account of a universe of relations [Badiou]
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are for measuring and for calculating (and the two must be consistent) [Badiou]
There is no single unified definition of number [Badiou]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Each type of number has its own characteristic procedure of introduction [Badiou]
Must we accept numbers as existing when they no longer consist of units? [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Mathematics shows that thinking is not confined to the finite [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory [Badiou]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
If mathematics is a logic of the possible, then questions of existence are not intrinsic to it [Badiou]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic is definitional, but real mathematics is axiomatic [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
There is no Being as a whole, because there is no set of all sets [Badiou]
7. Existence / A. Nature of Existence / 3. Being / b. Being and existence
Existence is Being itself, but only as our thought decides it [Badiou]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
The modern view of Being comes when we reject numbers as merely successions of One [Badiou]
The primitive name of Being is the empty set; in a sense, only the empty set 'is' [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
7. Existence / D. Theories of Reality / 1. Ontologies
Ontology is (and always has been) Cantorian mathematics [Badiou]
19. Language / F. Communication / 3. Denial
We must either assert or deny any single predicate of any single subject [Badiou]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Conduct is not isolated from its effect on the moral code [Hart,HLA]
24. Political Theory / D. Ideologies / 5. Democracy / e. Democratic minorities
The great danger of democracy is that the oppression of the minority becomes unobjectionable [Hart,HLA]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
In an organised society all actions have some effect on other people [Hart,HLA]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The value of liberty allows freedom of action, even if that distresses other people [Hart,HLA]
25. Social Practice / C. Rights / 1. Basis of Rights
Hart (against Bentham) says human rights are what motivate legal rights [Hart,HLA, by Sen]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
Positive law needs secondary 'rules of recognition' for their correct application [Hart,HLA, by Zimmermann,J]
The principle of legality requires crimes to be precisely defined in advance of any action [Hart,HLA]
Some private moral issues are no concern of the law [Hart,HLA]
Do morals influence law? Is morality an aspect of law? Can law be morally criticised? [Hart,HLA]
Is the enforcement of morality morally justifiable? [Hart,HLA]
Modern law still suppresses practices seen as immoral, and yet harmless [Hart,HLA]
25. Social Practice / D. Justice / 2. The Law / d. Legal positivism
Hart replaced positivism with the democratic requirement of the people's acceptance [Hart,HLA, by Zimmermann,J]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Moral wickedness of an offence is always relevant to the degree of punishment [Hart,HLA]
25. Social Practice / E. Policies / 2. Religion in Society
For Enlightenment philosophers, God was no longer involved in politics [Badiou]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
The God of religion results from an encounter, not from a proof [Badiou]