Combining Texts

All the ideas for 'Frege philosophy of mathematics', 'Leviathan' and 'On Referring'

expand these ideas     |    start again     |     specify just one area for these texts


74 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Resolve a complex into simple elements, then reconstruct the complex by using them [Hobbes, by MacIntyre]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
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]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
There are no rules for the exact logic of ordinary language, because that doesn't exist [Strawson,P]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
'The present King of France is bald' presupposes existence, rather than stating it [Strawson,P, by Grayling]
Russell asks when 'The King of France is wise' would be a true assertion [Strawson,P]
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 / 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]
7. Existence / D. Theories of Reality / 6. Physicalism
Every part of the universe is body, and non-body is not part of it [Hobbes]
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]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Appearance and reality can be separated by mirrors and echoes [Hobbes]
13. Knowledge Criteria / D. Scepticism / 5. Dream Scepticism
Dreams must be false because they seem absurd, but dreams don't see waking as absurd [Hobbes]
16. Persons / F. Free Will / 5. Against Free Will
Freedom is absence of opposition to action; the idea of 'free will' is absurd [Hobbes]
16. Persons / F. Free Will / 7. Compatibilism
Liberty and necessity are consistent, as when water freely flows, by necessity [Hobbes]
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
The 'simple passions' are appetite, desire, love, aversion, hate, joy, and grief [Hobbes, by Goldie]
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 / 6. Meaning as Use
The meaning of an expression or sentence is general directions for its use, to refer or to assert [Strawson,P]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
Reference is mainly a social phenomenon [Strawson,P, by Sainsbury]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
If an expression can refer to anything, it may still instrinsically refer, but relative to a context [Bach on Strawson,P]
19. Language / B. Reference / 5. Speaker's Reference
Expressions don't refer; people use expressions to refer [Strawson,P]
If an utterance fails to refer then it is a pseudo-use, though a speaker may think they assert something [Strawson,P]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
20. Action / C. Motives for Action / 1. Acting on Desires
The will is just the last appetite before action [Hobbes]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Reason is usually general, but deliberation is of particulars [Hobbes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
'Good' is just what we desire, and 'Evil' what we hate [Hobbes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Men's natural desires are no sin, and neither are their actions, until law makes it so [Hobbes]
22. Metaethics / B. Value / 2. Values / g. Love
Desire and love are the same, but in the desire the object is absent, and in love it is present [Hobbes]
22. Metaethics / B. Value / 2. Values / i. Self-interest
All voluntary acts aim at some good for the doer [Hobbes]
23. Ethics / B. Contract Ethics / 1. Contractarianism
A contract is a mutual transfer of rights [Hobbes]
Hobbes wants a contract to found morality, but shared values are needed to make a contract [MacIntyre on Hobbes]
The person who performs first in a contract is said to 'merit' the return, and is owed it [Hobbes]
23. Ethics / B. Contract Ethics / 2. Golden Rule
For Hobbes the Golden Rule concerns not doing things, whereas Jesus encourages active love [Hobbes, by Flanagan]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
In the violent state of nature, the merest suspicion is enough to justify breaking a contract [Hobbes]
23. Ethics / B. Contract Ethics / 4. Value of Authority
Fear of sanctions is the only motive for acceptance of authority that Hobbes can think of [MacIntyre on Hobbes]
Suspicion will not destroy a contract, if there is a common power to enforce it [Hobbes]
23. Ethics / B. Contract Ethics / 5. Free Rider
No one who admitted to not keeping contracts could ever be accepted as a citizen [Hobbes]
If there is a good reason for breaking a contract, the same reason should have stopped the making of it [Hobbes]
23. Ethics / B. Contract Ethics / 7. Prisoner's Dilemma
The first performer in a contract is handing himself over to an enemy [Hobbes]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
Someone who keeps all his contracts when others are breaking them is making himself a prey to others [Hobbes]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtues are a means to peaceful, sociable and comfortable living [Hobbes]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Injustice is the failure to keep a contract, and justice is the constant will to give what is owed [Hobbes]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
In time of war the life of man is solitary, poor, nasty, brutish and short [Hobbes]
Hobbes attributed to savages the passions which arise in a law-bound society [Hobbes, by Rousseau]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Hobbes says the people voluntarily give up their sovereignty, in a contract with a ruler [Hobbes, by Oksala]
25. Social Practice / B. Equalities / 1. Grounds of equality
There is not enough difference between people for one to claim more benefit than another [Hobbes]
Hobbes says people are roughly equal; Locke says there is no right to impose inequality [Hobbes, by Wolff,J]
25. Social Practice / C. Rights / 3. Alienating rights
If we seek peace and defend ourselves, we must compromise on our rights [Hobbes]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
We should obey the laws of nature, provided other people are also obeying them [Hobbes, by Wolff,J]
25. Social Practice / D. Justice / 2. The Law / d. Legal positivism
The legal positivism of Hobbes said law is just formal or procedural [Hobbes, by Jolley]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Punishment should only be for reform or deterrence [Hobbes]
25. Social Practice / E. Policies / 2. Religion in Society
If fear of unknown powers is legal it is religion, if it is illegal it is superstition [Hobbes]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Causation is only observation of similar events following each other, with nothing visible in between [Hobbes]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion is built on ignorance and misinterpretation of what is unknown or frightening [Hobbes]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Belief in an afterlife is based on poorly founded gossip [Hobbes]