Combining Texts

All the ideas for 'Logicism and Ontological Commits. of Arithmetic', 'fragments/reports' and 'Three Dialogues of Hylas and Philonous'

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46 ideas

3. Truth / F. Semantic Truth / 2. Semantic Truth
Truth in a model is more tractable than the general notion of truth [Hodes]
Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is a level one relation with a second-order definition [Hodes]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Mathematics is higher-order modal logic [Hodes]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic must allow for the possibility of only a finite total of objects [Hodes]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes]
Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes]
7. Existence / A. Nature of Existence / 5. Reason for Existence
I do not believe in the existence of anything, if I see no reason to believe it [Berkeley]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
I know that nothing inconsistent can exist [Berkeley]
7. Existence / D. Theories of Reality / 7. Fictionalism
Talk of mirror images is 'encoded fictions' about real facts [Hodes]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
There is no other substance, in a strict sense, than spirit [Berkeley]
10. Modality / A. Necessity / 10. Impossibility
A thing is shown to be impossible if a contradiction is demonstrated within its definition [Berkeley]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
Since our ideas vary when the real things are said to be unchanged, they cannot be true copies [Berkeley]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
If existence is perceived directly, by which sense; if indirectly, how is it inferred from direct perception? [Berkeley]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Sensible objects are just sets of sensible qualities [Berkeley]
Berkeley did not deny material things; he merely said they must be defined through sensations [Berkeley, by Ayer]
Berkeley needed a phenomenalist account of the self, as well as of material things [Ayer on Berkeley]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / c. Empirical idealism
'To be is to be perceived' is a simple confusion of experience with its objects [Russell on Berkeley]
For Berkelely, reality is ideas and a community of minds, including God's [Berkeley, by Grayling]
Time is measured by the succession of ideas in our minds [Berkeley]
There is no such thing as 'material substance' [Berkeley]
I conceive a tree in my mind, but I cannot prove that its existence can be conceived outside a mind [Berkeley]
There is nothing in nature which needs the concept of matter to explain it [Berkeley]
Perceptions are ideas, and ideas exist in the mind, so objects only exist in the mind [Berkeley]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities (such as shape, solidity, mass) are held to really exist, unlike secondary qualities [Berkeley]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
A mite would see its own foot as large, though we would see it as tiny [Berkeley]
The apparent size of an object varies with its distance away, so that can't be a property of the object [Berkeley]
'Solidity' is either not a sensible quality at all, or it is clearly relative to our senses [Berkeley]
Distance is not directly perceived by sight [Berkeley]
12. Knowledge Sources / B. Perception / 3. Representation
Immediate objects of perception, which some treat as appearances, I treat as the real things themselves [Berkeley]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Real things and imaginary or dreamed things differ because the latter are much fainter [Berkeley]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Geometry is originally perceived by senses, and so is not purely intellectual [Berkeley]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
It is possible that we could perceive everything as we do now, but nothing actually existed. [Berkeley]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
A hot hand and a cold hand will have different experiences in the same tepid water [Berkeley]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Experience tells me that other minds exist independently from my own [Berkeley]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
How can that which is unthinking be a cause of thought? [Berkeley]
18. Thought / C. Content / 2. Ideas
Berkeley probably used 'idea' to mean both the act of apprehension and the thing apprehended [Russell on Berkeley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
Immorality is not in the action, but in the deviation of the will from moral law [Berkeley]
28. God / B. Proving God / 1. Proof of God
There must be a God, because all sensible things must be perceived by him [Berkeley]
There must be a God, because I and my ideas are not independent [Berkeley]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
It has been proved that creation is the workmanship of God, from its beauty and usefulness [Berkeley]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
People are responsible because they have limited power, though this ultimately derives from God [Berkeley]
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
If sin is not just physical, we don't consider God the origin of sin because he causes physical events [Berkeley]