On Wednesday, January 29, 2020 at 11:57:09 AM UTC-6, Bruno Marchal wrote:
>
>
> On 29 Jan 2020, at 12:03, Lawrence Crowell <[email protected] 
> <javascript:>> wrote:
>
> On Tuesday, January 28, 2020 at 6:12:31 PM UTC-6, Brent wrote:
>>
>>
>>
>> On 1/28/2020 8:10 AM, Bruno Marchal wrote: 
>> > 
>> > Aristotle: Reality is what we see. 
>> > Plato: what we see might be the shadow of a simpler reality 
>> > (mathematical, musical, theological, …). 
>> > 
>> > Science is really born from that important platonic doubt. 
>>
>> Nonsense.  Religious mysticism was born from platonic doubt. Science was 
>> already born in the school of Thales of Miletus. Aristotle at least 
>> believed that observation was a source of knowledg; while platonists 
>> depreacted it as illusory shadows of reality.  St Agustine made 
>> Platonism Christian and Thomas Aquinas made Aristotleanism Christian, 
>> and those two, with the power of the Church behind them dominated 
>> Western intellectual thought for nine centuries, known as "The Dark 
>> Ages" for a good reason. 
>
>
> In spite of the problems with Platonism and Aristotelianism I don't think 
> they are that pernicious. Plato, who we really have a vague idea about, may 
> have been a central man and he came up with some mathematics of the 
> polytopes in 3-dimensions. These were the regular polytopes of the 
> tetrahedron, which is self dual, the cube dual to the octahedron and the 
> dodecahedron dual to the icosahedron. He was a follower of Socrates, and 
> all we know of Socrates was written by Plato. In these writings he came up 
> with this idea about the relationship between physical reality and the 
> epistemic domain of mathematics. We really do not know much more and it is 
> very likely, as in the tradition of scribes in the ancient world, much of 
> his writings, *Symposia, Euthryphro* etc, have a heavy contribution from 
> his circle of associates. It is possible that Plato is a place name for 
> followers of Socrates and all attributed to Plato were written by the 
> "Platonists." Much the same is probably the case with Pythagoras and his 
> cult-like followers called the Pythagoreans. The Bible has much the same, 
> and the various books of the Bible with names are written heavily by 
> follower scribes writing in that name. With Aristotle there is more reason 
> to think his writings are central to a better known figure. While 
> Aristotle's ideas of physics are wrong in many ways, they are in some ways 
> a bit more rational than what Plato came up with.
>
>
> OK.
>
>
>
> Some writers of the New Testament were knowledgeable of Plato and 
> Aristotle, The Gospel of John is very Platonic and curiously the Book of 
> Revelations attributed to John is Aristotelian. This elevated Plato and 
> Aristotle to great heights, while Thales, Democrates etc were eclipsed. 
> This intertwining of Plato and Aristotle with Christianity is what brought 
> these philosophies so deeply into mysticism.
>
>
>
> The more mystic, the less wrong they are, at least if we compare with the 
> mathematical theology of the universal machine, that I described in detail 
> in most of my papers.
>
> To be sure, by Plato, I mean the Plato of the Parmenides and the 
> Theaetetus, a bit of the Republic and the Timaeus. Plato was just a 
> researcher, he use Socrates to make dialog.
>
> Unlike Gerson (a scholar expert on Plato) I do not identify Plato with 
> Socrates. And I “correct” every details through the universal machine 
> interpretation of “reality”. As this is pure mathematics, it helps to get 
> the coherent picture, even if some people dislike the idea that the theory 
> of everything is just elementary arithmetic (or Turing equivalent), but 
> this at least explains consciousness, qualia, quanta and their relations, 
> without adding any non necessary magic. Is it true? No scientist can know. 
> But we can test it experimentally, and QM confirms the most (annoying? 
> Startling?) aspect of Mechanism, notably the many-histories *aspect* of 
> reality, the quantum threshold, the quantum logics, etc.
>
> I will make a post about how I see now the way space appears, It is not 
> easily, I need the full 4 + 4*infinity modes of machine self-reference.
>
> What people misses here the most is the “simple” fact that elementary 
> arithmetic is Turing-Universal, and the existence of all halting and non 
> halting computations, including their redundancy and relative measure, is 
> an arithmetical reality (well above the computable part of it). The very 
> thing that I have been asked to removed from my thesis as judged to be to 
> much simple to figure in a thesis (which is nonsense, as in an 
> interdisciplinary thesis: nothing is evident, and everything must be 
> explained, and all hypotheses must be made explicit). Since then, except 
> professional logicians (and even just among those knowing theoretical 
> computer science), very few people seems to get this “simple” point, 
> already made by Gödel 1931, in some footnote though. 
>
> Bruno
>
>
>
Plato did write the death of Socrates and the accounts of Timaeus, 
Euthyphro et al and symposia. So Plato clearly had a connection with 
Socrates' "Academe," even if Plato really should turn out to be a fictional 
character, a bit like Bourbaki in mathematics. 

Gödel considered himself a Platonist. He saw the existence of true and 
unprovable propositions or new axioms as some sort of objective aspect to 
mathematics. Other just say this is a sort of relationship system for 
different models in mathematics. 

LC

>
>
>
>
> LC
>
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