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All the ideas for 'Function and Concept', 'A General Principle to Explain Laws of Nature' and 'Sapiens: brief history of humankind'

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44 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
The Scientific Revolution was the discovery of our own ignorance [Harari]
     Full Idea: The great discovery of the Scientific Revolution was that humans do not know the answers to their most important question.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 14 'Ignoramus')
     A reaction: I think of that revolution as raising the bar in epistemology, but this idea gives a motivation for doing so. Why the discovery then, and not before?
For millenia people didn't know how to convert one type of energy into another [Harari]
     Full Idea: For millenia people didn't know how to convert one type of energy into another, …and the only machine capable of performing energy conversion was the body.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 17 'Intro')
     A reaction: Hence the huge and revolutionary importance of the steam engine and the electricity generator.
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is sanctified, because it flows from God [Leibniz]
     Full Idea: Philosophy is sanctified by having its streams flow from the fountain of God's attributes.
     From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.69)
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
     Full Idea: Frege rejected the traditional categories as importing psychological and linguistic impurities into logic.
     From: report of Gottlob Frege (Function and Concept [1891]) by Ian Rumfitt - The Boundary Stones of Thought 1.2
     A reaction: Resisting such impurities is the main motivation for making logic entirely symbolic, but it doesn't follow that the traditional categories have to be dropped.
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
     Full Idea: Just as functions are fundamentally different from objects, so also functions whose arguments are and must be functions are fundamentally different from functions whose arguments are objects. The latter are first-level, the former second-level, functions.
     From: Gottlob Frege (Function and Concept [1891], p.38)
     A reaction: In 1884 he called it 'second-order'. This is the standard distinction between first- and second-order logic. The first quantifies over objects, the second over intensional entities such as properties and propositions.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
     Full Idea: Functions of one argument are concepts; functions of two arguments are relations.
     From: Gottlob Frege (Function and Concept [1891], p.39)
     A reaction: Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
     Full Idea: I am of the opinion that arithmetic is a further development of logic, which leads to the requirement that the symbolic language of arithmetic must be expanded into a logical symbolism.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: This may the the one key idea at the heart of modern analytic philosophy (even though logicism may be a total mistake!). Logic and arithmetical foundations become the master of ontology, instead of the servant. The jury is out on the whole enterprise.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
     Full Idea: Frege regarded the existence of horses as a property of the concept 'horse'.
     From: report of Gottlob Frege (Function and Concept [1891]) by Fred Sommers - Intellectual Autobiography 'Realism'
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
     Full Idea: Frege's theory of properties (which he calls 'concepts') yields too few properties, by identifying coextensive properties, and also too many, by letting every predicate express a property.
     From: comment on Gottlob Frege (Function and Concept [1891]) by DH Mellor / A Oliver - Introduction to 'Properties' §2
     A reaction: Seems right; one extension may have two properties (have heart/kidneys), two predicates might express the same property. 'Cutting nature at the joints' covers properties as well as objects.
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
     Full Idea: I regard a regular definition of 'object' as impossible, since it is too simple to admit of logical analysis. Briefly: an object is anything that is not a function, so that an expression for it does not contain any empty place.
     From: Gottlob Frege (Function and Concept [1891], p.32)
     A reaction: Here is the core of the programme for deriving our ontology from our logic and language, followed through by Russell and Quine. Once we extend objects beyond the physical, it becomes incredibly hard to individuate them.
9. Objects / F. Identity among Objects / 1. Concept of Identity
Inequality can be brought infinitely close to equality [Leibniz]
     Full Idea: Equality may be considered as an infinitely small inequality, and we may make inequality approach equality as much as we wish.
     From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.67)
     A reaction: An interesting response to David Lewis's brusque dismissal of the problem of identity, as all-or-nothing...end of story.
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
     Full Idea: Concepts, for Frege, are the ontological counterparts of predicative expressions.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: That sounds awfully like what many philosophers call 'universals'. Frege, as a platonist (at least about numbers), I would take to be in sympathy with that. At least we can say that concepts seem to be properties.
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
     Full Idea: Frege had a notorious difficulty over the concept 'horse', when he suggests that if we wish to assert something about a concept, we are obliged to proceed indirectly by speaking of an object that represents it.
     From: report of Gottlob Frege (Function and Concept [1891], Ch.2.II) by Bob Hale - Abstract Objects
     A reaction: This sounds like the thin end of a wedge. The great champion of objects is forced to accept them here as a façon de parler, when elsewhere they have ontological status.
A concept is a function whose value is always a truth-value [Frege]
     Full Idea: A concept in logic is closely connected with what we call a function. Indeed, we may say at once: a concept is a function whose value is always a truth-value. ..I give the name 'function' to what is meant by the 'unsaturated' part.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: So a function becomes a concept when the variable takes a value. Problems arise when the value is vague, or the truth-value is indeterminable.
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
     Full Idea: For Frege, concepts differ from objects in being inherently incomplete in nature.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: This is because they are 'unsaturated', needing a quantified variable to complete the sentence. This could be a pointer towards Quine's view of properties, as simply an intrinsic feature of predication about objects, with no separate identity.
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
     Full Idea: From sameness of meaning there does not follow sameness of thought expressed. A fact about the Morning Star may express something different from a fact about the Evening Star, as someone may regard one as true and the other false.
     From: Gottlob Frege (Function and Concept [1891], p.14)
     A reaction: This all gets clearer if we distinguish internalist and externalist theories of content. Why take sides on this? Why not just ask 'what is in the speaker's head?', 'what does the sentence mean in the community?', and 'what is the corresponding situation?'
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Money does produce happiness, but only up to a point [Harari]
     Full Idea: An interesting conclusion (from questionnaires) is that money does indeed bring happiness. But only up to a point, and beyond that point it has little significance.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 19 'Counting')
     A reaction: The question is whether that flattening-off point is relative to those around us, or absolute, according to the needs of living. Though these two may not be separate.
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]
     Full Idea: Sociological research has shown that the maximum 'natural' size of a group bound by gossip is about 150 individuals.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 02 'Legend')
     A reaction: On the other hand, most of us can learn the names of a group of about 450. Maybe the 'known' group and the 'gossip' group are equally significant. Not much use for a modern state, but of interest to communitarians.
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]
     Full Idea: In the year 1500 there were about 500 million Homo sapiens in the world. Today there are 7 billion. …Human population has increased fourteenfold, our production 240-fold, and energy consumption 115-fold.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 14 'Discovery')
     A reaction: We really need to grasp how extraordinary this is.
People 300m tons; domesticated animals 700m tons; larger wild animals 100m tons [Harari]
     Full Idea: The combined mass of homo sapiens is about 300 million tons; the mass of all domesticated farmyard animals is about 700 million tons; the mass of the surviving larger wild animals (from porcupines up) is less than 100 million tons.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 18 'Permanent')
     A reaction: These really are figures that deserve much wider currency. Every school entrance hall needs a board with a few of the basic dramatic statistics about human life on Earth.
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]
     Full Idea: The main ambition of the Nazis was to protect humankind from degeneration and encourage its progressive evolution. …Given the state of scientific knowledge in 1933, Nazi beliefs were hardly outside the pale.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Worship')
     A reaction: It still sounds a fairly worthy ambition, close to the heart of educationalists everywhere. The problems start with the definition of 'degeneration' and 'progress'.
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]
     Full Idea: Modern attempts to stabilise the sociopolitical order either declare a scientific theory (such as racial theories for Nazis, or economic ones for Communists) to be an absolute truths, or declare non-scientific dogmas (such as liberal values)
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 14 'Ignoramus')
     A reaction: [compressed]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The state fostered individualism, to break the power of family and community [Harari]
     Full Idea: States and markets use their growing power to weaken the bonds of family and community. They made an offer that couldn't be refused - 'become individuals' (over marriage, jobs and residence). The 'romantic individual' is not a rebel against the state.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 18 'Collapse')
     A reaction: [compressed] See the film 'Breaking the Waves'. An interesting slant on the Romantic movement. See Wordsworth's 'Michael'. Capitalism needs shoppers with their own money, and a mobile workforce.
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
In 1750 losing your family and community meant death [Harari]
     Full Idea: A person who lost her family and community around 1750 was as good as dead.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 18 'Collapse')
     A reaction: This is a very good advert for liberal individualism, and marks the downside of 'too much community'.
24. Political Theory / D. Ideologies / 11. Capitalism
The main rule of capitalism is that all other goods depend on economic growth [Harari]
     Full Idea: The principle tenet of capitalism is that economic growth is the supreme good, or at least a proxy for it, because justice, freedom, and even happiness all depend on economic growth.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 16 'Growing')
     A reaction: In this respect, the main opponent of captitalism is green politics, rather than marxism.
The sacred command of capitalism is that profits must be used to increase production [Harari]
     Full Idea: In the new capitalist creed, the first and most sacred commandment is: The profits of production must be reinvested in increasing production.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 16 'Growing')
     A reaction: In this sense, capitalism is less greedy than its predecessors. 17th century aristocratic monopolists simply spent the profits of their activities. See the gorgeous clothes then (and pyramids and palaces), and the quiet suits of capitalists.
The progress of capitalism depends entirely on the new discoveries and gadgets of science [Harari]
     Full Idea: The history of capitalism is unintelligible without taking science into account. …The human economy has managed to keep on going only thanks to the fact that scientists come up with a new discovery or gadget every few years.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 16 'Growing')
     A reaction: For example, the desperate but unconvincing attempts to persuade us of the novelty of new models of car. Built-in obsolescence is needed once a design becomes static.
In capitalism the rich invest, and the rest of us go shopping [Harari]
     Full Idea: The supreme commandment of the rich is 'invest!', and the supreme commandment of the rest of us is 'buy!'
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 17 'Age')
     A reaction: Hence not only do the rich get much richer, while most of us remain roughly where we were, but there is a huge gulf between the investors and the non-investors. Encouraging small investors is a step forward.
25. Social Practice / A. Freedoms / 4. Free market
No market is free of political bias, and markets need protection of their freedoms [Harari]
     Full Idea: There is no such thing as a market free of all political bias, …and markets by themselves offer no protection against fraud, theft and violence.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 16 'Cult')
     A reaction: Is this in theory, or in practice? In Sicily the free market has been a tool of the mafia.
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]
     Full Idea: The freedom we value so highly may work against us. We can choose our spouses, friends and neighbours, but they can choose to leave us. With the individual wielding unprecedented power to decide her own path, we find it ever harder to make commitments.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 19 'Counting')
     A reaction: This is the worry of the communitarian. I take freedom to be a great social virtue - but an overrated one.
25. Social Practice / E. Policies / 1. War / e. Peace
Real peace is the implausibility of war (and not just its absence) [Harari]
     Full Idea: Real peace is not the mere absence of war. Real peace is the implausibility of war.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 18 'Pax')
     A reaction: I have a nasty feeling that war only becomes implausible because it hasn't happened for a long time. War looked implausible for Britain in 1890. War certainly now looks implausible in western Europe.
25. Social Practice / E. Policies / 4. Taxation
Financing is increasingly through credit rather than taxes; people prefer investing to taxation [Harari]
     Full Idea: The European conquest of the world was increasingly financed through credit rather than taxes. …Nobody wants to pay taxes, but everyone is happy to invest.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 16 'Columbus')
     A reaction: This is presumably the mechanism that drives the unstoppable increase of the gulf between the rich and the poor in modern times. With investment, the rich get richer.
25. Social Practice / E. Policies / 5. Education / d. Study of history
The more you know about history, the harder it becomes to explain [Harari]
     Full Idea: A distinguishing mark of history is that the better you know a historical period, the harder it becomes to explain why things happened one way and not another.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 13 'Hindsight')
     A reaction: Presumaby that means it resembles statistics. Each individual reading is perplexing, but some patterns emerge on the large scale.
History teaches us that the present was not inevitable, and shows us the possibilities [Harari]
     Full Idea: We study history not to know the future but to widen our horizons, to understand that our present situation is neither natural nor inevitable, and the we consequently have many more possibilities before us than we can imagine.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 13 'Hindsight')
     A reaction: On the whole winners forget history, and losers are branded through and through with it. If you don't know history, you can never understand the latter group.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]
     Full Idea: The ontological proof of God's existence suffers from the fallacy of treating existence as a first-level concept.
     From: Gottlob Frege (Function and Concept [1891], p.38 n)
     A reaction: [See Idea 8490 for first- and second-order functions] This is usually summarised as the idea that existence is a quantifier rather than a predicate.
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]
     Full Idea: Monotheism explains order but not evil, and dualist religion explains evil but not order. One logical solution is a single omnipotent God who created the universe, and is evil - but nobody in history has had much stomach for that belief.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Battle')
     A reaction: Eh? Is there not also good, which also needs explaining? And there is some chaos to be explained too. Hume offers the best explanations. An inexperienced god, a team of squabbling gods, a god with shifting moods…. Study the facts first.
29. Religion / A. Polytheistic Religion / 1. Animism
Animism is belief that every part of nature is aware and feeling, and can communicate [Harari]
     Full Idea: Animism is the belief that almost every place, every animal, every plant and every natural phenomenon has awareness and feelings, and can communicated direct with humans.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 03 'Talking')
     A reaction: So does this count as a 'supernatural' belief system? It seems not, if the awareness is integral to the natural feature, and dies with it. Panpsychism is not supernatural either. A problem for anyone trying to define Naturalism.
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Most polytheist recognise one supreme power or law, behind the various gods [Harari]
     Full Idea: Polytheism does not necessarily dispute the existence of a single power or law governing the entire universe. Most poytheist and even animist religions recognised such a supreme power that stands behind all the different gods, demons and holy rocks.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Benefits')
     A reaction: Presumably this one supreme power was always taken to be too remote for communication or worship. Are the other gods seen as slaves, or friends, or ambassadors of the Supreme One?
Polytheism is open-minded, and rarely persecutes opponents [Harari]
     Full Idea: Polytheism is inherently open-minded, and rarely persecutes 'heretics' and 'infidels'.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Benefits')
     A reaction: The Old Testament tells of the Jews turning on local pagans, and India was presumably tolerant Hindus encountering less tolerant Muslims. Then there's Christians in Africa. Dreadful bunch, the monotheists. Romans killed very few Christians.
Mythologies are usual contracts with the gods, exchanging devotion for control of nature [Harari]
     Full Idea: Much of ancient mythology is a legal contract in which humans promise everlasting devotion to the gods in exchange for mastery over plants and animals.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Silencing')
     A reaction: [He cites the first book of Genesis] So how readily do you swith allegiance, if someone else's gods are more successful? Why be loyal a loser. It should be like shopping - but I bet it wasn't.
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
Dualist religions see everything as a battleground of good and evil forces [Harari]
     Full Idea: Polytheism gave birth to monotheism, and to dualistic religions. Dualism explains that the entire universe is a battleground between good and evil forces, and everything that happens is part of that struggle.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Battle')
     A reaction: Presumably we are supposed to support the good guys, so the gods are not equals. God v Satan seems the right model, but Satan has to be beyond God's control, or else the problem of evil has to be solved. Empedocles held something like this.
Dualist religions say the cosmos is a battleground, so can’t explain its order [Harari]
     Full Idea: Dualist religions solve the problem of evil, but are unnerved by the Problem of Order. …If Good and Evil battle for control of the world, who enforces the laws governing this cosmic war?
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Battle')
     A reaction: You might explain it if one side was persistently winning, which is roughly God v Satan.
Manichaeans and Gnostics: good made spirit, evil made flesh [Harari]
     Full Idea: Manichaeans and Gnostics argued that the good god created the spirit and the soul, whereas matter and bodes are the creation of the evil god.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'Battle')
     A reaction: Hm. What motivated the evil god to do that? The evil god's achievement looks a lot more impressive.
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Monotheism appeared in Egypt in 1350 BCE, when the god Aten was declared supreme [Harari]
     Full Idea: The first monotheist religion known to us appeared in Egypt c.1350 BCE, when Pharaoh Akenaten declared that one of minor deities of the Egyptian pantheon, the god Aten, was in fact the supreme power ruling the universe.
     From: Yuval Noah Harari (Sapiens: brief history of humankind [2014], 12 'God')
     A reaction: Zeus seems to have started like a tribal chief, and eventually turned into something like God.