Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Peter Singer and Richard G. Heck

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28 ideas

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]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is universalisable - it must involve an impartial and universal view of things [Singer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Following an inner voice for morality is irresponsible in a rational agent [Singer]
22. Metaethics / B. Value / 2. Values / c. Life
The sanctity of a human life depends either on being of our species, or on being a person [Singer]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
'Marginal utility' says something is more useful if it is in short supply [Singer]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Why should I do anything for posterity? What has posterity ever done for me? [Singer]
23. Ethics / D. Deontological Ethics / 1. Deontology
Conflict of rules might be avoided by greater complexity, or by a hierarchy of rules [Singer]
23. Ethics / F. Existentialism / 4. Boredom
Psychopaths may just be bored, because they cannot participate in normal emotional life [Singer]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
You can't condemn violent revolution without assessing the evils it prevents [Singer]
In Marxism the state will be superseded [Singer]
24. Political Theory / D. Ideologies / 5. Democracy / e. Democratic minorities
If 49% of the population can be wrong, so can 51% [Singer]
24. Political Theory / D. Ideologies / 9. Communism
Materialist history says we are subject to incomprehensible forces [Singer]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality of interests is a minimal principle, not implying equal treatment [Singer]
25. Social Practice / B. Equalities / 4. Economic equality
Equality of opportunity unfairly rewards those lucky enough to have great ability [Singer]
25. Social Practice / C. Rights / 1. Basis of Rights
If a right entails having the relevant desire, many creatures might have no right to life [Singer]
25. Social Practice / F. Life Issues / 3. Abortion
Why should a potential person have the rights of an actual person? [Singer]
25. Social Practice / F. Life Issues / 6. Animal Rights
Killing a chimp is worse than killing a human too defective to be a person [Singer]