Combining Texts

All the ideas for 'Why Constitution is not Identity', 'Phenomenology of Spirit' and 'Structures and Structuralism in Phil of Maths'

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52 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy moves essentially in the element of universality [Hegel]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy aims to reveal the necessity and rationality of the categories of nature and spirit [Hegel, by Houlgate]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Without philosophy, science is barren and futile [Hegel]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Truth does not appear by asserting reasons and then counter-reasons [Hegel]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
The structure of reason is a social and historical achievement [Hegel, by Pinkard]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Truth does not come from giving reasons for and against propositions [Hegel]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The true is the whole [Hegel]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Clay is intrinsically and atomically the same as statue (and that lacks 'modal properties') [Rudder Baker]
The clay is not a statue - it borrows that property from the statue it constitutes [Rudder Baker]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Is it possible for two things that are identical to become two separate things? [Rudder Baker]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
Constitution is not identity, as consideration of essential predicates shows [Rudder Baker]
The constitution view gives a unified account of the relation of persons/bodies, statues/bronze etc [Rudder Baker]
Statues essentially have relational properties lacked by lumps [Rudder Baker]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I develop philosophical science from the simplest appearance of immediate consciousness [Hegel, by Hegel]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Absolute is not supposed to be comprehended, but felt and intuited [Hegel]
In the Absolute everything is the same [Hegel]
Genuine idealism is seeing the ideal structure of the world [Hegel, by Houlgate]
Being is Thought [Hegel]
12. Knowledge Sources / B. Perception / 1. Perception
Experience is immediacy, unity, forces, self-awareness, reason, culture, absolute being [Hegel, by Houlgate]
12. Knowledge Sources / B. Perception / 5. Interpretation
Hegel tried to avoid Kant's dualism of neutral intuitions and imposed concepts [Hegel, by Pinkard]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Consciousness derives its criterion of knowledge from direct knowledge of its own being [Hegel]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness is shaped dialectically, by opposing forces and concepts [Hegel, by Aho]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Consciousness is both of objects, and of itself [Hegel]
16. Persons / A. Concept of a Person / 4. Persons as Agents
Hegel claims knowledge of self presupposes desire, and hence objects [Hegel, by Scruton]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
For Hegel knowledge of self presupposes objects, and also a public and moral social world [Hegel, by Scruton]
23. Ethics / F. Existentialism / 6. Authentic Self
The in-itself must become for-itself, which requires self-consciousness [Hegel]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Human nature only really exists in an achieved community of minds [Hegel]
Modern life needs individuality, but must recognise that human agency is social [Hegel, by Pinkard]
25. Social Practice / E. Policies / 5. Education / d. Study of history
History is the progress of the consciousness of freedom [Hegel]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
The movement of pure essences constitutes the nature of scientific method [Hegel]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
Science confronts the inner necessities of objects [Hegel]
28. God / B. Proving God / 1. Proof of God
The God of revealed religion can only be understood through pure speculative knowledge [Hegel]
28. God / C. Attitudes to God / 4. God Reflects Humanity
God is the essence of thought, abstracted from the thinker [Hegel, by Feuerbach]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Hegel made the last attempt to restore Christianity, which philosophy had destroyed [Hegel, by Feuerbach]