Editing Talk:1856: Existence Proof
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According to https://en.wikipedia.org/wiki/Constructive_proof "existence proof" means a non-constructive proof. Such proofs are annoying to some mathematicians as they claim existence of something but do not show how to find it. So I fully understand the teacher that she wants to grab a sword and finally find it. [[Special:Contributions/162.158.202.76|162.158.202.76]] 08:54, 29 June 2017 (UTC) | According to https://en.wikipedia.org/wiki/Constructive_proof "existence proof" means a non-constructive proof. Such proofs are annoying to some mathematicians as they claim existence of something but do not show how to find it. So I fully understand the teacher that she wants to grab a sword and finally find it. [[Special:Contributions/162.158.202.76|162.158.202.76]] 08:54, 29 June 2017 (UTC) | ||
β | Jokes on her. The number is a [https://en.wikipedia.org/wiki/Non-standard_model_of_arithmetic | nonstandard integer]. [[Special:Contributions/172.68.78.28|172.68.78.28]] 10:12, 29 June 2017 (UTC) | + | Jokes on her. The number is a [https://en.wikipedia.org/wiki/Non-standard_model_of_arithmetic| nonstandard integer]. [[Special:Contributions/172.68.78.28|172.68.78.28]] 10:12, 29 June 2017 (UTC) |
To me, the comic reads (especially with the title text) with the implication that the teacher is encouraging the students to help her actually fight real numbers in real life, as if the platonic idea of numbers was "realer" than we think. [[Special:Contributions/172.68.215.98|172.68.215.98]] 10:42, 29 June 2017 (UTC) | To me, the comic reads (especially with the title text) with the implication that the teacher is encouraging the students to help her actually fight real numbers in real life, as if the platonic idea of numbers was "realer" than we think. [[Special:Contributions/172.68.215.98|172.68.215.98]] 10:42, 29 June 2017 (UTC) | ||
The sentence "There exists some number x such that f(x)=G(f(0))=1." boils down to "There is an x such that f(x)=1". The part with G(f(0)) is only a way to arrive at 1. For some reason there is an x that satisfies f(x)=G(f(0)), and since G(f(0))=1, it is equivalent to f(x)=1. {{unsigned ip|141.101.76.142}} | The sentence "There exists some number x such that f(x)=G(f(0))=1." boils down to "There is an x such that f(x)=1". The part with G(f(0)) is only a way to arrive at 1. For some reason there is an x that satisfies f(x)=G(f(0)), and since G(f(0))=1, it is equivalent to f(x)=1. {{unsigned ip|141.101.76.142}} |