Combining Texts

All the ideas for 'Metaphysics: the logical approach', 'Cantorian Abstraction: Recon. and Defence' and 'On Liberty'

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56 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics focuses on Platonism, essentialism, materialism and anti-realism [Benardete,JA]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
There are the 'is' of predication (a function), the 'is' of identity (equals), and the 'is' of existence (quantifier) [Benardete,JA]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytical philosophy analyses separate concepts successfully, but lacks a synoptic vision of the results [Benardete,JA]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Presumably the statements of science are true, but should they be taken literally or not? [Benardete,JA]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory attempts to reduce the 'is' of predication to mathematics [Benardete,JA]
The set of Greeks is included in the set of men, but isn't a member of it [Benardete,JA]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The standard Z-F Intuition version of set theory has about ten agreed axioms [Benardete,JA, by PG]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
I think of variables as objects rather than as signs [Fine,K]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]
Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
If slowness is a property of walking rather than the walker, we must allow that events exist [Benardete,JA]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Early pre-Socratics had a mass-noun ontology, which was replaced by count-nouns [Benardete,JA]
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
If there is no causal interaction with transcendent Platonic objects, how can you learn about them? [Benardete,JA]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Why should packed-together particles be a thing (Mt Everest), but not scattered ones? [Benardete,JA]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Could a horse lose the essential property of being a horse, and yet continue to exist? [Benardete,JA]
9. Objects / E. Objects over Time / 2. Objects that Change
If a soldier continues to exist after serving as a soldier, does the wind cease to exist after it ceases to blow? [Benardete,JA]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
One can step into the same river twice, but not into the same water [Benardete,JA]
9. Objects / F. Identity among Objects / 5. Self-Identity
Absolutists might accept that to exist is relative, but relative to what? How about relative to itself? [Benardete,JA]
Maybe self-identity isn't existence, if Pegasus can be self-identical but non-existent [Benardete,JA]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The clearest a priori knowledge is proving non-existence through contradiction [Benardete,JA]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects [Benardete,JA]
Logical positivism amounts to no more than 'there is no synthetic a priori' [Benardete,JA]
Assertions about existence beyond experience can only be a priori synthetic [Benardete,JA]
Appeals to intuition seem to imply synthetic a priori knowledge [Benardete,JA]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K]
18. Thought / E. Abstraction / 2. Abstracta by Selection
To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
18. Thought / E. Abstraction / 8. Abstractionism Critique
After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
It is a crime for someone with a violent disposition to get drunk [Mill]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Ethics rests on utility, which is the permanent progressive interests of people [Mill]
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
Individuals have sovereignty over their own bodies and minds [Mill]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
The will of the people is that of the largest or most active part of the people [Mill]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
It is evil to give a government any more power than is necessary [Mill]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
Individuals often do things better than governments [Mill]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Aim for the maximum dissemination of power consistent with efficiency [Mill]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Maximise happiness by an area of strict privacy, and an area of utilitarian interventions [Mill, by Wolff,J]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
People who transact their own business will also have the initiative to control their government [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Prevention of harm to others is the only justification for exercising power over people [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The worth of a State, in the long run, is the worth of the individuals composing it [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
The main argument for freedom is that interference with it is usually misguided [Mill]
25. Social Practice / A. Freedoms / 3. Free speech
Liberty arises at the point where people can freely and equally discuss things [Mill]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Utilitarianism values liberty, but guides us on which ones we should have or not have [Mill, by Wolff,J]
Mill defends freedom as increasing happiness, but maybe it is an intrinsic good [Wolff,J on Mill]
True freedom is pursuing our own good, while not impeding others [Mill]
Individuals are not accountable for actions which only concern themselves [Mill]
Blocking entry to an unsafe bridge does not infringe liberty, since no one wants unsafe bridges [Mill]
Pimping and running a gambling-house are on the border between toleration and restraint [Mill]
Restraint for its own sake is an evil [Mill]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Society can punish actions which it believes to be prejudicial to others [Mill]
25. Social Practice / E. Policies / 3. Welfare provision
Benefits performed by individuals, not by government, help also to educate them [Mill]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
We need individual opinions and conduct, and State education is a means to prevent that [Mill]
25. Social Practice / F. Life Issues / 3. Abortion
It is a crime to create a being who lacks the ordinary chances of a desirable existence [Mill]
27. Natural Reality / C. Space / 3. Points in Space
Rationalists see points as fundamental, but empiricists prefer regions [Benardete,JA]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
In the ontological argument a full understanding of the concept of God implies a contradiction in 'There is no God' [Benardete,JA]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The ethics of the Gospel has been supplemented by barbarous Old Testament values [Mill]