Combining Texts

All the ideas for 'The Advancement of Learning', 'Elements of Geometry' and 'Justice: What's the right thing to do?'

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


41 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the best knowledge, because it is the simplest [Bacon]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Natural history supports physical knowledge, which supports metaphysical knowledge [Bacon]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Physics studies transitory matter; metaphysics what is abstracted and necessary [Bacon]
Physics is of material and efficient causes, metaphysics of formal and final causes [Bacon]
2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
3. Truth / A. Truth Problems / 3. Value of Truth
Speak truth only to those who deserve the truth [Sandel]
Careful evasions of truth at least show respect for it [Sandel]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
We don't assume there is no land, because we can only see sea [Bacon]
14. Science / A. Basis of Science / 3. Experiment
Science moves up and down between inventions of causes, and experiments [Bacon]
14. Science / B. Scientific Theories / 5. Commensurability
Many different theories will fit the observed facts [Bacon]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
People love (unfortunately) extreme generality, rather than particular knowledge [Bacon]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Not all deals are fair deals [Sandel]
Does consent create the obligation, or must there be some benefit? [Sandel]
Moral contracts involve both consent and reciprocity; making the deal, and keeping it [Sandel]
23. Ethics / B. Contract Ethics / 2. Golden Rule
The categorical imperative is not the Golden Rule, which concerns contingent desires [Sandel]
23. Ethics / D. Deontological Ethics / 5. Persons as Ends
Man cannot dispose of himself, because he is not a thing to be owned [Sandel]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Just visiting (and using roads) is hardly ratifying the Constitution [Sandel]
24. Political Theory / B. Nature of a State / 3. Constitutions
A ratified constitution may not be a just constitution [Sandel]
A just constitution harmonises the different freedoms [Sandel]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Liberal freedom was a response to assigned destinies like caste and class [Sandel]
25. Social Practice / B. Equalities / 4. Economic equality
Libertarians just want formal equality in a free market; the meritocratic view wants fair equality [Sandel]
25. Social Practice / D. Justice / 1. Basis of justice
We can approach justice through welfare, or freedom, or virtue [Sandel]
Justice concerns how a society distributes what it prizes - wealth, rights, power and honours [Sandel]
Should we redress wrongs done by a previous generation? [Sandel]
Distributive justice concern deserts, as well as who gets what [Sandel]
Justice is about how we value things, and not just about distributions [Sandel]
Work is not fair if it is negotiated, even in a fair situation, but if it suits the nature of the worker [Sandel]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Teleological thinking is essential for social and political issues [Sandel]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Teleological accounts are fine in metaphysics, but they stop us from searching for the causes [Bacon]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Essences are part of first philosophy, but as part of nature, not part of logic [Bacon]