Combining Texts

All the ideas for 'Letters', 'Phenomenology of Spirit' and 'Philosophy of Mathematics'

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40 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]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
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]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Virtues and vices are like secondary qualities in perception, found in observers, not objects [Hume]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
All virtues benefit either the public, or the individual who possesses them [Hume]
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 / C. Causation / 3. Final causes
The idea of a final cause is very uncertain and unphilosophical [Hume]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
That events could be uncaused is absurd; I only say intuition and demonstration don't show this [Hume]
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]