Combining Texts

All the ideas for 'Appearance and Reality', 'Cardinality, Counting and Equinumerosity' and 'Shame and Necessity'

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


30 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Metaphysics is finding bad reasons for instinctive beliefs [Bradley]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Names need a means of reidentifying their referents [Bradley, by Read]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
8. Modes of Existence / A. Relations / 2. Internal Relations
Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell]
Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling]
Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter]
Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil]
16. Persons / F. Free Will / 5. Against Free Will
There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B]
It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility involves cause, intention, state of mind, and response after the event [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
In bad actions, guilt points towards victims, and shame to the agent [Williams,B]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Greek moral progress came when 'virtue' was freed from social status [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
The modern idea of duty is unknown in archaic Greece [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B]
If reason cannot lead people to good, we must hope they have an internal voice [Williams,B]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Reality is one, because plurality implies relations, and they assert a superior unity [Bradley]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There is a problem of evil only if you expect the world to be good [Williams,B]