Combining Texts

All the ideas for 'Mathematics without Numbers', 'Sapiens: brief history of humankind' and 'Our Knowledge of the External World'

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53 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
A sense of timelessness is essential to wisdom [Russell]
1. Philosophy / B. History of Ideas / 5. Later European Thought
The Scientific Revolution was the discovery of our own ignorance [Harari]
For millenia people didn't know how to convert one type of energy into another [Harari]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophical disputes are mostly hopeless, because philosophers don't understand each other [Russell]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophical systems are interesting, but we now need a more objective scientific philosophy [Russell]
Hegel's confusions over 'is' show how vast systems can be built on simple errors [Russell]
Philosophers sometimes neglect truth and distort facts to attain a nice system [Russell]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Physicists accept particles, points and instants, while pretending they don't do metaphysics [Russell]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
When problems are analysed properly, they are either logical, or not philosophical at all [Russell]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic gives the method of research in philosophy [Russell]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The logical connectives are not objects, but are formal, and need a context [Russell]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
The tortoise won't win, because infinite instants don't compose an infinitely long time [Russell]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
Atomic facts may be inferrable from others, but never from non-atomic facts [Russell]
7. Existence / D. Theories of Reality / 8. Facts / d. Negative facts
A positive and negative fact have the same constituents; their difference is primitive [Russell]
8. Modes of Existence / A. Relations / 1. Nature of Relations
With asymmetrical relations (before/after) the reduction to properties is impossible [Russell]
8. Modes of Existence / B. Properties / 11. Properties as Sets
When we attribute a common quality to a group, we can forget the quality and just talk of the group [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / c. Representative realism
Science condemns sense-data and accepts matter, but a logical construction must link them [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / c. Unperceived sense-data
When sense-data change, there must be indistinguishable sense-data in the process [Russell]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Empirical truths are particular, so general truths need an a priori input of generality [Russell]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Objects are treated as real when they connect with other experiences in a normal way [Russell]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Global scepticism is irrefutable, but can't replace our other beliefs, and just makes us hesitate [Russell]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Other minds seem to exist, because their testimony supports realism about the world [Russell, by Grayling]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Money does produce happiness, but only up to a point [Harari]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
If a group is bound by gossip, the natural size is 150 people [Harari]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
Since 1500 human population has increased fourteenfold, and consumption far more [Harari]
People 300m tons; domesticated animals 700m tons; larger wild animals 100m tons [Harari]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The Nazi aim was to encourage progressive evolution, and avoid degeneration [Harari]
24. Political Theory / B. Nature of a State / 5. Culture
We stabilise societies with dogmas, either of dubious science, or of non-scientific values [Harari]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The state fostered individualism, to break the power of family and community [Harari]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
In 1750 losing your family and community meant death [Harari]
24. Political Theory / D. Ideologies / 11. Capitalism
The sacred command of capitalism is that profits must be used to increase production [Harari]
The main rule of capitalism is that all other goods depend on economic growth [Harari]
The progress of capitalism depends entirely on the new discoveries and gadgets of science [Harari]
In capitalism the rich invest, and the rest of us go shopping [Harari]
25. Social Practice / A. Freedoms / 4. Free market
No market is free of political bias, and markets need protection of their freedoms [Harari]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Freedom may work against us, as individuals can choose to leave, and make fewer commitments [Harari]
25. Social Practice / E. Policies / 1. War / e. Peace
Real peace is the implausibility of war (and not just its absence) [Harari]
25. Social Practice / E. Policies / 4. Taxation
Financing is increasingly through credit rather than taxes; people prefer investing to taxation [Harari]
25. Social Practice / E. Policies / 5. Education / d. Study of history
The more you know about history, the harder it becomes to explain [Harari]
History teaches us that the present was not inevitable, and shows us the possibilities [Harari]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
We never experience times, but only succession of events [Russell]
28. God / C. Attitudes to God / 1. Monotheism
In order to explain both order and evil, a single evil creator is best, but no one favours that [Harari]
29. Religion / A. Polytheistic Religion / 1. Animism
Animism is belief that every part of nature is aware and feeling, and can communicate [Harari]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Most polytheist recognise one supreme power or law, behind the various gods [Harari]
Polytheism is open-minded, and rarely persecutes opponents [Harari]
Mythologies are usual contracts with the gods, exchanging devotion for control of nature [Harari]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
Dualist religions see everything as a battleground of good and evil forces [Harari]
Dualist religions say the cosmos is a battleground, so can’t explain its order [Harari]
Manichaeans and Gnostics: good made spirit, evil made flesh [Harari]
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Monotheism appeared in Egypt in 1350 BCE, when the god Aten was declared supreme [Harari]