O嘴數學系列:無限係乜?(what is infinity?)

infinity

(picture from Cambrige Alumni Magazine)

無限(唔係講緊《龍珠》嗰個:o) )係乜?我諗大家都至少有個概念係乜,簡單就好似由1,2,3,...不停咁數落去數到世界未日都唔停咁。呢個概念就算細路仔/「人蠢無藥醫」既林健鋒同葉國謙(利申:唔係小弟講既,我只係引述田北俊講既野)都明。

但無限真係咁簡單?你又知唔知無限都有分種類?

https://www.youtube.com/watch?v=elvOZm0d4H0

https://www.youtube.com/watch?v=A-QoutHCu4o

唔單止咁,無限其實比你想像既更奇怪,違反常理,連發現有D無限(uncountable infinity)大過某D無限(countable infinity)既數學家格奧爾格·康托爾(Georg Cantor)晚年都痴左線,[sosad]

乜野係無限呢個問題甚至係哲學問題,可以睇吓下面講既悖論(paradox)

https://www.youtube.com/watch?v=dDl7g_2x74Q

小弟雖然title叫PhD,但個title名唔係指Doctor of Philosophy,只係表示小弟係一個有permanent head damage係薄餅博士做野既外賣仔 :)所以呢D哲學問題都係留番俾哲學家研究啦!

物理學上都有涉及無限呢樣野,好似量子場論(Quantum Field Theory)當中既 重整化Renormalisation)就係例子。乜野係量子場論(Quantum Field Theory)重整化(Renormalisation)? 有機會下(或下下下下...)次再講 :)

“Two things are infinite: the universe and human stupidity; and I’m not sure about the the universe.” – Albert Einstein

[offtopic] 岩岩兩日前美最高法院裁定同性婚姻合憲 ,恭喜晒 #LGBT:)Equality and respect are most important!

https://www.youtube.com/watch?v=nB1fktc3sQ0

同性戀=有罪,犯法?請先認識吓艾倫·圖靈(Alan Turing)再下判斷

PS:差D唔記得今日係tau day添:D 😀 #hoho# #hoho# Happy Tau day 🙂

https://www.youtube.com/watch?v=83ofi_L6eAo
https://www.youtube.com/watch?v=ZPv1UV0rD8U&feature=youtu.be

更新詳盡版現刊於立場新聞:

https://www.thestandnews.com/cosmos/%E7%84%A1%E9%99%90%E6%98%AF%E7%94%9A%E9%BA%BC/

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