Combining Texts

All the ideas for 'Russell's Mathematical Logic', 'Lectures on the Principles of Political Obligation' and 'Phenomenology of Spirit'

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46 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]
2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The true is the whole [Hegel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Impredicative definitions are admitted into ordinary mathematics [Gödel]
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]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Knowledge is secured by the relations between its parts, through differences and identities [Green,TH, by Muirhead]
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 / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
States only have full authority if they heed the claims of human fellowship [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Equality also implies liberty, because equality must be of opportunity as well as possessions [Green,TH]
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]
The highest political efforts express our deeper social spirit [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 9. Communism
Communism is wrong because it restricts the freedom of individuals to contribute to the community [Green,TH, by Muirhead]
Original common ownership is securing private property, not denying it [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 14. Nationalism
National spirit only exists in the individuals who embody it [Green,TH, by Muirhead]
25. Social Practice / C. Rights / 4. Property rights
The ground of property ownership is not force but the power to use it for social ends [Green,TH, by Muirhead]
Property is needed by all citizens, to empower them to achieve social goods [Green,TH]
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]