Combining Texts

All the ideas for 'New Scientist articles', 'Authority and the Individual' and 'Frege versus Cantor and Dedekind'

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52 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Current physics says matter and antimatter should have reduced to light at the big bang [New Sci.]
CP violation shows a decay imbalance in matter and antimatter, leading to matter's dominance [New Sci.]
14. Science / A. Basis of Science / 4. Prediction
A system can infer the structure of the world by making predictions about it [New Sci.]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Neural networks can extract the car-ness of a car, or the chair-ness of a chair [New Sci.]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
No one has yet devised a rationality test [New Sci.]
18. Thought / A. Modes of Thought / 7. Intelligence
People can be highly intelligent, yet very stupid [New Sci.]
About a third of variation in human intelligence is environmental [New Sci.]
18. Thought / B. Mechanics of Thought / 1. Psychology
Psychologists measure personality along five dimensions [New Sci.]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Gradually loyalty to a creed increased, which could even outweigh nationality [Russell]
Increasingly war expands communities, and unifies them through fear [Russell]
In early societies the leaders needed cohesion, but the rest just had to obey [Russell]
24. Political Theory / A. Basis of a State / 2. Population / b. State population
The economic and political advantages of great size seem to have no upper limit [Russell]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
A monarch is known to everyone in the group, and can thus unite large groups [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
A state is essential, to control greedy or predatory impulses [Russell]
In an anarchy universities, research, books, and even seaside holidays, would be impossible [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
In democracy we are more aware of being governed than of our tiny share in government [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
Managers are just as remote from workers under nationalisation as under capitalism [Russell]
Socialists say economic justice needs some state control of industries, and of foreign trade [Russell]
Being a slave of society is hardly better than being a slave of a despot [Russell]
25. Social Practice / A. Freedoms / 1. Slavery
Slavery began the divorce between the work and the purposes of the worker [Russell]
25. Social Practice / B. Equalities / 1. Grounds of equality
Slaves can be just as equal as free people [Russell]
25. Social Practice / B. Equalities / 4. Economic equality
Scarce goods may be denied entirely, to avoid their unequal distribution [Russell]
25. Social Practice / D. Justice / 1. Basis of justice
Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Entropy is the only time-asymmetric law, so time may be linked to entropy [New Sci.]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
Light moves at a constant space-time speed, but its direction is in neither space nor time [New Sci.]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum states are measured by external time, of unknown origin [New Sci.]
The Schrödinger equation describes the evolution of an object's wave function in Hilbert space [New Sci.]
27. Natural Reality / B. Modern Physics / 5. Unified Models / b. String theory
It is impossible for find a model of actuality among the innumerable models in string theory [New Sci.]
String theory needs at least 10 space-time dimensions [New Sci.]
In string theory space-time has a grainy indivisible substructure [New Sci.]
27. Natural Reality / C. Space / 2. Space
Hilbert Space is an abstraction representing all possible states of a quantum system [New Sci.]
27. Natural Reality / C. Space / 6. Space-Time
Space-time may be a geometrical manifestation of quantum entanglement [New Sci.]
Einstein's merging of time with space has left us confused about the nature of time [New Sci.]
Relativity makes time and space jointly basic; quantum theory splits them, and prioritises time [New Sci.]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Quantum theory relies on a clock outside the system - but where is it located? [New Sci.]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Entropy is puzzling, so we may need to build new laws which include time directionality [New Sci.]
27. Natural Reality / E. Cosmology / 7. Black Holes
General relativity predicts black holes, as former massive stars, and as galaxy centres [New Sci.]
Black holes have entropy, but general relativity says they are unstructured, and lack entropy [New Sci.]
27. Natural Reality / E. Cosmology / 8. Dark Matter
84.5 percent of the universe is made of dark matter [New Sci.]
27. Natural Reality / F. Chemistry / 1. Chemistry
We are halfway to synthesising any molecule we want [New Sci.]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Chemistry just needs the periodic table, and protons, electrons and neutrinos [New Sci.]