Combining Texts

All the ideas for 'Foundations of Geometry', 'Modern Philosophy:introduction and survey' and 'Grounding Concepts'

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50 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
Philosophy aims to provide a theory of everything [Scruton]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
If p entails q, then p is sufficient for q, and q is necessary for p [Scruton]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Examining concepts can recover information obtained through the senses [Jenkins]
2. Reason / E. Argument / 4. Open Question
We may define 'good' correctly, but then ask whether the application of the definition is good [Scruton]
3. Truth / A. Truth Problems / 1. Truth
A true proposition is consistent with every other true proposition [Scruton]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Instead of correspondence of proposition to fact, look at correspondence of its parts [Jenkins]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatist does not really have a theory of truth [Scruton]
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 / 4. Using Numbers / c. Counting procedure
Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins]
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]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Arithmetic concepts are indispensable because they accurately map the world [Jenkins]
Senses produce concepts that map the world, and arithmetic is known through these concepts [Jenkins]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
We can learn about the world by studying the grounding of our concepts [Jenkins]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
There's essential, modal, explanatory, conceptual, metaphysical and constitutive dependence [Jenkins, by PG]
7. Existence / E. Categories / 4. Category Realism
The concepts we have to use for categorising are ones which map the real world well [Jenkins]
8. Modes of Existence / B. Properties / 12. Denial of Properties
If possible worlds are needed to define properties, maybe we should abandon properties [Scruton]
10. Modality / A. Necessity / 11. Denial of Necessity
Hume assumes that necessity can only be de dicto, not de re [Scruton]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
The conceivable can't be a test of the possible, if there are things which are possible but inconceivable [Scruton]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Epistemology is about the justification of belief, not the definition of knowledge [Scruton]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
In the Cogito argument consciousness develops into self-consciousness [Scruton]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
Maybe our knowledge of truth and causation is synthetic a priori [Scruton]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Examining accurate, justified or grounded concepts brings understanding of the world [Jenkins]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Touch only seems to reveal primary qualities [Scruton]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
We only conceive of primary qualities as attached to secondary qualities [Scruton]
If primary and secondary qualities are distinct, what has the secondary qualities? [Scruton]
12. Knowledge Sources / B. Perception / 3. Representation
The representational theory says perceptual states are intentional states [Scruton]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
It is not enough that intuition be reliable - we need to know why it is reliable [Jenkins]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Knowledge is true belief which can be explained just by citing the proposition believed [Jenkins]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
My belief that it will rain tomorrow can't be caused by its raining tomorrow [Scruton]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Logical positivism avoids scepticism, by closing the gap between evidence and conclusion [Scruton]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Why should you believe someone who says there are no truths? [Scruton]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Every event having a cause, and every event being determined by its cause, are not the same [Scruton]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The very concept of a substance denies the possibility of mutual interaction and dependence [Scruton]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
The physical effect of world on brain explains the concepts we possess [Jenkins]
Grounded concepts are trustworthy maps of the world [Jenkins]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verificationism is better if it says meaningfulness needs concepts grounded in the senses [Jenkins]
19. Language / C. Assigning Meanings / 2. Semantics
Success semantics explains representation in terms of success in action [Jenkins]
19. Language / E. Analyticity / 1. Analytic Propositions
'Analytic' can be conceptual, or by meaning, or predicate inclusion, or definition... [Jenkins]
19. Language / F. Communication / 4. Private Language
Wittgenstein makes it impossible to build foundations from something that is totally private [Scruton]
23. Ethics / B. Contract Ethics / 5. Free Rider
Any social theory of morality has the problem of the 'free rider', who only pretends to join in [Scruton]
23. Ethics / D. Deontological Ethics / 2. Duty
Membership is the greatest source of obligation [Scruton]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The categorical imperative is not just individual, but can be used for negotiations between strangers [Scruton]
26. Natural Theory / C. Causation / 1. Causation
'Cause' used to just mean any valid explanation [Scruton]
27. Natural Reality / C. Space / 4. Substantival Space
Measuring space requires no movement while I do it [Scruton]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
'Existence' is not a predicate of 'man', but of the concept of man, saying it has at least one instance [Scruton]