Combining Texts

All the ideas for 'fragments/reports', 'Set Theory and the Continuum Hypothesis' and 'The Origins of Totalitarianism'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
     Full Idea: A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities.
     From: Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For?
     A reaction: I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world.
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Modern totalitarianism results from lack of social ties or shared goals [Arendt, by Oksala]
     Full Idea: Arendt claims that modern totalitarianism's primary condition is an atomised mass society: isolated individuals who have no strong ties to communities and who are indifferent to shared political goals.
     From: report of Hannah Arendt (The Origins of Totalitarianism [1968]) by Johanna Oksala - Political Philosophy: all that matters Ch.9
     A reaction: I think the lack of ties simply describes large modern cities. Not sure about the lack of shared goals. Hitler and Stalin rode on the back of apparent shared goals. Working classes strike me as sharing more goals than middle classes.
The ideal subject for dictators is not a fanatic, but someone who can't distinguish true from false [Arendt, by Oksala]
     Full Idea: The ideal subject of totalitarianism is not the convinced Nazi or the convinced communist, but anyone who has lost the ability to make distinctions between fact and fiction and between true and false.
     From: report of Hannah Arendt (The Origins of Totalitarianism [1968]) by Johanna Oksala - Political Philosophy: all that matters Ch.9
     A reaction: We are currently living with an apparent attempt by Donald Trump to become a totalitarian President of the U.S.A., by constantly disseminating lies, and labelling all of his critics as 'fake news'.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.