Combining Texts

All the ideas for 'Through the Looking Glass', 'Frege philosophy of mathematics' and 'Mind, Brain and the Quantum'

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48 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
There is nothing so obvious that a philosopher cannot be found to deny it [Lockwood]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
There may only be necessary and sufficient conditions (and counterfactuals) because we intervene in the world [Lockwood]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
No one has ever succeeded in producing an acceptable non-trivial analysis of anything [Lockwood]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
If something is described in two different ways, is that two facts, or one fact presented in two ways? [Lockwood]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
How does a direct realist distinguish a building from Buckingham Palace? [Lockwood]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
Dogs seem to have beliefs, and beliefs require concepts [Lockwood]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism is a theory of meaning as well as of knowledge [Lockwood]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Commonsense realism must account for the similarity of genuine perceptions and known illusions [Lockwood]
15. Nature of Minds / A. Nature of Mind / 8. Brain
A 1988 estimate gave the brain 3 x 10-to-the-14 synaptic junctions [Lockwood]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
How come unconscious states also cause behaviour? [Lockwood]
Could there be unconscious beliefs and desires? [Lockwood]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
Fish may operate by blindsight [Lockwood]
16. Persons / C. Self-Awareness / 1. Introspection
We might even learn some fundamental physics from introspection [Lockwood]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Can phenomenal qualities exist unsensed? [Lockwood]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
If mental events occur in time, then relativity says they are in space [Lockwood]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Only logical positivists ever believed behaviourism [Lockwood]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Identity theory likes the identity of lightning and electrical discharges [Lockwood]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Perhaps logical positivism showed that there is no dividing line between science and metaphysics [Lockwood]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Maybe causation is a form of rational explanation, not an observation or a state of mind [Lockwood]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
We have the confused idea that time is a process of change [Lockwood]