Combining Philosophers

All the ideas for Reiss,J/Spreger,J, Richard Dedekind and Martha Nussbaum

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58 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
One view says objectivity is making a successful claim which captures the facts [Reiss/Sprenger]
An absolute scientific picture of reality must not involve sense experience, which is perspectival [Reiss/Sprenger]
Topic and application involve values, but can evidence and theory choice avoid them? [Reiss/Sprenger]
The Value-Free Ideal in science avoids contextual values, but embraces epistemic values [Reiss/Sprenger]
Value-free science needs impartial evaluation, theories asserting facts, and right motivation [Reiss/Sprenger]
Thermometers depend on the substance used, and none of them are perfect [Reiss/Sprenger]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Keep premises as weak as possible, to avoid controversial difficulties [Nussbaum]
2. Reason / D. Definition / 9. Recursive Definition
Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
An infinite set maps into its own proper subset [Dedekind, by Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are free creations of the human mind, to understand differences [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman]
Order, not quantity, is central to defining numbers [Dedekind, by Monk]
Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell]
Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock]
I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting we see the human ability to relate, correspond and represent [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A system S is said to be infinite when it is similar to a proper part of itself [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K]
9. Objects / A. Existence of Objects / 3. Objects in Thought
A thing is completely determined by all that can be thought concerning it [Dedekind]
14. Science / A. Basis of Science / 3. Experiment
The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
14. Science / C. Induction / 6. Bayes's Theorem
The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett]
We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Storytelling is never neutral; some features of the world must be emphasised [Nussbaum]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
The Aristotelian idea that choices can be perceived needs literary texts to expound it [Nussbaum]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Philosophers after Aristotle endorsed the medical analogy for eudaimonia [Nussbaum, by Flanagan]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Particularism gives no guidance for the future [Nussbaum]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Compassion is unreliable, because it favours people close to us [Nussbaum]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Social contracts assume equal powers among the participants [Nussbaum]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
We shouldn't focus on actual preferences, which may be distorted by injustices [Nussbaum]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberalism does not need a comprehensive account of value [Nussbaum]
24. Political Theory / D. Ideologies / 12. Feminism
Women are often treated like children, and not respected for their choices [Nussbaum]
Liberals must respect family freedom - but families are the great oppressors of women [Nussbaum]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Negative liberty is incoherent; all liberties, to do and to be, require the prevention of interference [Nussbaum]
25. Social Practice / A. Freedoms / 6. Political freedom
Political freedom is an incoherent project, because some freedoms limit other freedoms [Nussbaum]
25. Social Practice / C. Rights / 1. Basis of Rights
Political and civil rights are not separate from economic and social rights [Nussbaum]
25. Social Practice / D. Justice / 1. Basis of justice
Capabilities: Life, Health, Safety, Mental life, Love, Planning, Joining in, Nature, Play, Control [Nussbaum, by PG]
Justice requires that the ten main capabilities of people are reasonably enabled [Nussbaum]
Capabilities are grounded in bare humanity and agency; qualifying as rational is not needed [Nussbaum]
Rights are not just barriers against state interference; governments must affirm capabilities of citizens [Nussbaum]
25. Social Practice / E. Policies / 2. Religion in Society
Any establishment belief system is incompatible with full respect for all citizens [Nussbaum]
25. Social Practice / F. Life Issues / 6. Animal Rights
We should respect animals in the way that we respect the animal nature in humans [Nussbaum]
It may be no harm to kill an animal which cannot plan for its future [Nussbaum]
The Capabilities Approach sees animals as agents, not just as having feelings [Nussbaum]