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All the ideas for 'Mathematical Methods in Philosophy', 'Lectures 1930-32 (student notes)' and 'Enquiry Conc Human Understanding'

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129 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
The history of philosophy only matters if the subject is a choice between rival theories [Wittgenstein]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy tries to be rid of certain intellectual puzzles, irrelevant to daily life [Wittgenstein]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
The observation of human blindness and weakness is the result of all philosophy [Hume]
Philosophers express puzzlement, but don't clearly state the puzzle [Wittgenstein]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
If we suspect that a philosophical term is meaningless, we should ask what impression it derives from [Hume]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
We don't need a theory of truth, because we use the word perfectly well [Wittgenstein]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
We already know what we want to know, and analysis gives us no new facts [Wittgenstein]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
All experimental conclusions assume that the future will be like the past [Hume]
2. Reason / E. Argument / 3. Analogy
All reasoning concerning matters of fact is based on analogy (with similar results of similar causes) [Hume]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
Words of the same kind can be substituted in a proposition without producing nonsense [Wittgenstein]
2. Reason / F. Fallacies / 8. Category Mistake / b. Category mistake as syntactic
Talking nonsense is not following the rules [Wittgenstein]
Grammar says that saying 'sound is red' is not false, but nonsense [Wittgenstein]
3. Truth / A. Truth Problems / 2. Defining Truth
There is no theory of truth, because it isn't a concept [Wittgenstein]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
All thought has the logical form of reality [Wittgenstein]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
In logic nothing is hidden [Wittgenstein]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Laws of logic are like laws of chess - if you change them, it's just a different game [Wittgenstein]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradiction is between two rules, not between rule and reality [Wittgenstein]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
We may correctly use 'not' without making the rule explicit [Wittgenstein]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
Saying 'and' has meaning is just saying it works in a sentence [Wittgenstein]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
A person's name doesn't mean their body; bodies don't sit down, and their existence can be denied [Wittgenstein]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We don't get 'nearer' to something by adding decimals to 1.1412... (root-2) [Wittgenstein]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinity is not a number, so doesn't say how many; it is the property of a law [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Reason assists experience in discovering laws, and in measuring their application [Hume]
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
7. Existence / A. Nature of Existence / 4. Abstract Existence
We can't think about the abstract idea of triangles, but only of particular triangles [Hume]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
There are no positive or negative facts; these are just the forms of propositions [Wittgenstein]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
We cannot form an idea of a 'power', and the word is without meaning [Hume]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
Using 'green' is a commitment to future usage of 'green' [Wittgenstein]
10. Modality / B. Possibility / 6. Probability
We transfer the frequency of past observations to our future predictions [Hume]
10. Modality / B. Possibility / 7. Chance
There is no such thing as chance [Hume]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
For each necessity in the world there is an arbitrary rule of language [Wittgenstein]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Understanding is translation, into action or into other symbols [Wittgenstein]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Belief is stronger, clearer and steadier than imagination [Hume]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
Belief can't be a concept plus an idea, or we could add the idea to fictions [Hume]
Belief is just a particular feeling attached to ideas of objects [Hume]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
'Natural beliefs' are unavoidable, whatever our judgements [Hume, by Strawson,G]
Beliefs are built up by resemblance, contiguity and causation [Hume]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Relations of ideas are known by thought, independently from the world [Hume]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
If secondary qualities (e.g. hardness) are in the mind, so are primary qualities like extension [Hume]
12. Knowledge Sources / B. Perception / 3. Representation
It never occurs to people that they only experience representations, not the real objects [Hume]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
We live in sense-data, but talk about physical objects [Wittgenstein]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Part of what we mean by stating the facts is the way we tend to experience them [Wittgenstein]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
All reasoning about facts is causal; nothing else goes beyond memory and senses [Hume]
All ideas are copies of impressions [Hume]
Hume is loose when he says perceptions of different strength are different species [Reid on Hume]
Impressions are our livelier perceptions, Ideas the less lively ones [Hume]
All objects of enquiry are Relations of Ideas, or Matters of Fact [Hume]
If books don't relate ideas or explain facts, commit them to the flames [Hume]
12. Knowledge Sources / D. Empiricism / 2. Associationism
All ideas are connected by Resemblance, Contiguity in time or place, and Cause and Effect [Hume]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
We cannot form the idea of something we haven't experienced [Hume]
Only madmen dispute the authority of experience [Hume]
When definitions are pushed to the limit, only experience can make them precise [Hume]
How could Adam predict he would drown in water or burn in fire? [Hume]
We can only invent a golden mountain by combining experiences [Hume]
You couldn't reason at all if you lacked experience [Hume]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
If a person had a gap in their experience of blue shades, they could imaginatively fill it in [Hume]
Hume mistakenly lumps sensations and perceptions together as 'impressions' [Scruton on Hume]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
If you remember wrongly, then there must be some other criterion than your remembering [Wittgenstein]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Reasons for belief must eventually terminate in experience, or they are without foundation [Hume]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
There is no certain supreme principle, or infallible rule of inference [Hume]
13. Knowledge Criteria / C. External Justification / 7. Testimony
We think testimony matches reality because of experience, not some a priori connection [Hume]
Good testimony needs education, integrity, motive and agreement [Hume, by PG]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Reason can never show that experiences are connected to external objects [Hume]
Mitigated scepticism draws attention to the limitations of human reason, and encourages modesty [Hume]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Mitigated scepticism sensibly confines our enquiries to the narrow capacity of human understanding [Hume]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Examples of illusion only show that sense experience needs correction by reason [Hume]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
It is a very extravagant aim of the sceptics to destroy reason and argument by means of reason and argument [Hume]
The main objection to scepticism is that no good can come of it [Hume]
14. Science / C. Induction / 2. Aims of Induction
We assume similar secret powers behind similar experiences, such as the nourishment of bread [Hume]
14. Science / C. Induction / 3. Limits of Induction
Induction can't prove that the future will be like the past, since induction assumes this [Hume]
If we infer causes from repetition, this explains why we infer from a thousand objects what we couldn't infer from one [Hume]
Reason cannot show why reliable past experience should extend to future times and remote places [Hume]
Fools, children and animals all learn from experience [Hume]
All inferences from experience are effects of custom, not reasoning [Hume]
14. Science / C. Induction / 4. Reason in Induction
Premises can support an argument without entailing it [Pollock/Cruz on Hume]
Hume just shows induction isn't deduction [Williams,M on Hume]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation and understanding are the same [Wittgenstein]
Explanation gives understanding by revealing the full multiplicity of the thing [Wittgenstein]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
A machine strikes us as being a rule of movement [Wittgenstein]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
If an explanation is good, the symbol is used properly in the future [Wittgenstein]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
A picture of a friend strengthens our idea of him, by resemblance [Hume]
General ideas are the connection by resemblance to some particular [Hume]
Hume does not distinguish real resemblances among degrees of resemblance [Shoemaker on Hume]
15. Nature of Minds / C. Capacities of Minds / 8. Remembering Contiguity
When I am close to (contiguous with) home, I feel its presence more nearly [Hume]
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
An object made by a saint is the best way to produce thoughts of him [Hume]
Our awareness of patterns of causation is too important to be left to slow and uncertain reasoning [Hume]
16. Persons / F. Free Will / 5. Against Free Will
The doctrine of free will arises from a false sensation we have of freedom in many actions [Hume]
16. Persons / F. Free Will / 7. Compatibilism
Liberty is merely acting according to the will, which anyone can do if they are not in chains [Hume]
Hume makes determinism less rigid by removing the necessity from causation [Trusted on Hume]
18. Thought / A. Modes of Thought / 1. Thought
Thought is an activity which we perform by the expression of it [Wittgenstein]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A proposition draws a line around the facts which agree with it [Wittgenstein]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
The meaning of a proposition is the mode of its verification [Wittgenstein]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
Words function only in propositions, like levers in a machine [Wittgenstein]
19. Language / D. Propositions / 1. Propositions
A proposition is any expression which can be significantly negated [Wittgenstein]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Only experience teaches us about our wills [Hume]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Praise and blame can only be given if an action proceeds from a person's character and disposition [Hume]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
If you deny all necessity and causation, then our character is not responsible for our crime [Hume]
Repentance gets rid of guilt, which shows that responsibility arose from the criminal principles in the mind [Hume]
25. Social Practice / A. Freedoms / 3. Free speech
No government has ever suffered by being too tolerant of philosophy [Hume]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
We can discover some laws of nature, but never its ultimate principles and causes [Hume]
26. Natural Theory / C. Causation / 1. Causation
A priori it looks as if a cause could have absolutely any effect [Hume]
If a singular effect is studied, its cause can only be inferred from the types of events involved [Hume]
26. Natural Theory / C. Causation / 7. Eliminating causation
Hume never even suggests that there is no such thing as causation [Hume, by Strawson,G]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
At first Hume said qualities are the causal entities, but later he said events [Hume, by Davidson]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Hume says we can only know constant conjunctions, not that that's what causation IS [Hume, by Strawson,G]
In both of Hume's definitions, causation is extrinsic to the sequence of events [Psillos on Hume]
Hume's definition of cause as constantly joined thoughts can't cover undiscovered laws [Ayer on Hume]
A cause is either similar events following one another, or an experience always suggesting a second experience [Hume]
It is only when two species of thing are constantly conjoined that we can infer one from the other [Hume]
No causes can be known a priori, but only from experience of constant conjunctions [Hume]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Cause is where if the first object had not been, the second had not existed [Hume]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
In observing causes we can never observe any necessary connections or binding qualities [Hume]
Hume never shows how a strong habit could generate the concept of necessity [Harré/Madden on Hume]
Hume's regularity theory of causation is epistemological; he believed in some sort of natural necessity [Hume, by Strawson,G]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws of nature are an aspect of the phenomena, and are just our mode of description [Wittgenstein]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
It can never be a logical contradiction to assert the non-existence of something thought to exist [Hume]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
You can't infer the cause to be any greater than its effect [Hume]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
All experience must be against a supposed miracle, or it wouldn't be called 'a miracle' [Hume]
To establish a miracle the falseness of the evidence must be a greater miracle than the claimed miraculous event [Hume]
A miracle violates laws which have been established by continuous unchanging experience, so should be ignored [Hume]
28. God / C. Attitudes to God / 4. God Reflects Humanity
The idea of an infinite, intelligent, wise and good God arises from augmenting the best qualities of our own minds [Hume]