Page 353 A permutation is an ordered subset (i.e. attention is paid to the order of selection or arrangement) of a particular set of objects.
@zaidsserubogo2615 жыл бұрын
About your mental limits, that's why you have a chance to top up your knowledge with belief
@ecisme105 жыл бұрын
Thank you for the Back to the Future reference.
@fines1584 жыл бұрын
Holding one of his book now
@axeman26382 жыл бұрын
the universe is not controlled by equations, we can use equations to describe the action of a limited subset of reality in a limited region of space, but the equations are not the reality and do not create the reality. Reality exists regardless of the perception of it.
@axeman2638 Жыл бұрын
@lisakirstin that also happens to be the truth.
@2CSST25 ай бұрын
Reality can actually come down to equations, you cannot disprove that. Of course, that doesn't mean writing those equations down "creates" reality, it's just that they ARE actually a full description of how reality works. The description is not THE thing, but it does map 1 to 1 an explanation with anything it does
@axeman26385 ай бұрын
@@2CSST2 No it doesn't, You have obviously failed to grasp the implications of Godel's incompleteness theorem. No mathematical model can ever be a complete description of reality.
@gaven29765 жыл бұрын
My college female professor told me that the bombing of Hiroshima had no effect on the environment
@allanlees2997 күн бұрын
It's useful to remember that there's already a term for any discourse about imaginary invisible magical pixies of any kind: "god talk." It's a technical term, and it means pointless empty noise. Religionists generally make two major intellectual errors (and lots of minor ones). The first is to assume their pixie exists. This is incoherent. In order to credit something with existence, overwhelming evidence should be available to anyone who wishes to confirm such existence for themselves at any time. Secondly, having made the first blunder, religionists then say things like "you can't prove my god doesn't exist" which is no different from me asserting that the world is filled with incorporeal invisible dancing chickens and you can't prove they are not there. There is an endless list of imaginary things that, having no substance, cannot be proven not to exist (if one is gullible enough to believe in their existence in the first place) and it is a profound waste of time talking about such things. It is only interesting to talk about things for which evidence of existence is ample and reliable. God talk is intrinsically tedious and it's a shame du Sautoy falls into the trap of talking about worthless constructs.
@johnmartin73463 жыл бұрын
Godel prove of God´s existence:
@johnmartin73463 жыл бұрын
A translation of Gödel's proof sketch (in the version of Gödel's student Dana Scott) from formal logic into natural language: • Axiom 1: Either a property or its negation is positive. • Axiom 2: A property that is necessarily implied by a positive property is positive. • Theorem 1: Positive characteristics may be due to an existent entity. • Definition 1: A God-like entity has all the positive features. • Axiom 3: The property of being God-like is positive. • Conclusion: Perhaps God exists. • Axiom 4: Positive characteristics are necessarily positive. • Definition 2: A property is the essence of an entity, if it belongs to the entity and necessarily implies all the properties of the entity. • Theorem 2: To be God-like is the essence of every God-like entity. • Definition 3: An entity exists necessarily if all of its essences are necessarily realized in an existing entity. • Axiom 5: Necessarily existing is a positive property. • Theorem 3: God must necessarily exist.
@2CSST25 ай бұрын
@@johnmartin7346 Reminds me of this proof: - God is the perfect being - A perfect being, by definition, must exist, otherwise it wouldn't be perfect - Therefore god exists Problem with this is you can replace God with The Perfect Island. Yet, even though The Perfect Island would have to exist, and it would have to allow me to teleport to it any time I want to have a good time, here I am still in my apartment instead. Clearly, just because you can define something as perfect, doesn't mean it suddenly exists because it wouldn't be perfect otherwise and violate your definition. Here you could replace "positive" with "perfect" and it looks almost like a copy-paste of the same logic. Mind you, just because it's described in formal mathematics doesn't make it any less vulnerable to the problem I've just described, you're still betting on defining something that you think should exist by the mere fact that existing is part of its definition, either directly or indirectly through logical deduction.