Combining Texts

All the ideas for 'Individuals without Sortals', 'Mathematics and the Metaphysicians' and 'Ethics and the Limits of Philosophy'

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44 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
If counting needs a sortal, what of things which fall under two sortals? [Ayers]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events do not have natural boundaries, and we have to set them [Ayers]
7. Existence / D. Theories of Reality / 2. Realism
In the realist view, the real external world explains how it (and perceptions of it) are possible [Williams,B]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
To express borderline cases of objects, you need the concept of an 'object' [Ayers]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Recognising continuity is separate from sortals, and must precede their use [Ayers]
Speakers need the very general category of a thing, if they are to think about it [Ayers]
We use sortals to classify physical objects by the nature and origin of their unity [Ayers]
Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Could the same matter have more than one form or principle of unity? [Ayers]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers]
9. Objects / D. Essence of Objects / 5. Essence as Kind
Sortals basically apply to individuals [Ayers]
9. Objects / E. Objects over Time / 5. Temporal Parts
You can't have the concept of a 'stage' if you lack the concept of an object [Ayers]
Temporal 'parts' cannot be separated or rearranged [Ayers]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers]
9. Objects / F. Identity among Objects / 3. Relative Identity
If diachronic identities need covering concepts, why not synchronic identities too? [Ayers]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Our ability to react to an alien culture shows that ethical thought extends beyond cultural boundaries [Williams,B]
It is very confused to deduce a nonrelativist morality of universal toleration from relativism [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Philosophers try to produce ethical theories because they falsely assume that ethics can be simple [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Intuitionism has been demolished by critics, and no longer looks interesting [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The category of person is a weak basis for ethics, because it is not fixed but comes in degrees [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
The weakness of prescriptivism is shown by "I simply don't like staying at good hotels" [Williams,B]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Some ethical ideas, such as 'treachery' and 'promise', seem to express a union of facts and values [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
It is an error of consequentialism to think we just aim at certain states of affairs; we also want to act [Williams,B]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
Promise keeping increases reliability, by making deliberation focus on something which would be overlooked [Williams,B]
23. Ethics / B. Contract Ethics / 5. Free Rider
A weakness of contractual theories is the position of a person of superior ability and power [Williams,B]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
A crucial feature of moral thought is second-order desire - the desire to have certain desires [Williams,B]
23. Ethics / D. Deontological Ethics / 1. Deontology
'Deon' in Greek means what one must do; there was no word meaning 'duty' [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
Obligation and duty look backwards (because of a promise or job), although the acts are in the future [Williams,B]
"Ought implies can" is a famous formula in connection with moral obligation [Williams,B]
The concept of a 'duty to myself' is fraudulent [Williams,B]
Not all moral deliberations lead to obligations; some merely reveal what 'may' be done [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Why should I think of myself as both the legislator and the citizen who follows the laws? [Williams,B]
If the self becomes completely impartial, it no longer has enough identity to worry about its interests [Williams,B]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
Utilitarian benevolence involves no particular attachments, and is immune to the inverse square law [Williams,B]
23. Ethics / F. Existentialism / 7. Existential Action
Ethical conviction must be to some extent passive, and can't just depend on the will and decisions [Williams,B]
Taking responsibility won't cure ethical uncertainty by; we are uncertain what to decide [Williams,B]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
It is a mark of our having ethical values that we aim to reproduce them in our children [Williams,B]
25. Social Practice / F. Life Issues / 3. Abortion
Most women see an early miscarriage and a late stillbirth as being very different in character [Williams,B]
25. Social Practice / F. Life Issues / 6. Animal Rights
Speciesism isn't like racism, because the former implies a viewpoint which belongs to no one [Williams,B]