–這並不是一個沒有邏輯的辯論，但這也不是一個夠深刻的辯論，因為他們只是重複說了同樣的陳述。 (now, that is not exactly an illogical argument. But it’s also not a very profound argument because all they’ve really done is to say the same thing twice.)
這就像是說: 我喜歡柳橙汁，因為我喜歡柳橙汁。It’s not illogical. It just hasn’t got anywhere at all, you haven’t achieved anything.
當Eugenia 在演說一開始，開門見山的定義純數為”讓事情達到共識的架構”時 (Pure mathematics is a framework for agreeing on things. )，我看到了如何用數理思考架構來幫助我們人際溝通和談判，因為有效的人際溝通和談判，也都是為了得到共識 (這讓我想到一本總結了我對商業談判的學習心得的好書: getting more)
如同她所說，pure mathematics is a discipline for thinking better and for how to have a better argument. 如何去思考和想些甚麼是很難一言道盡，但議論事情時，用怎樣的架構來理解，如何找到更有利的論證卻是可以有效練習的。
Eugenia希望大家能夠透過對數理邏輯的了解和應用，讓溝通討論更有效率。(How could we have a more productive conversation?)
(What is certainly not logically valid is to claim that just because somebody has accepted this level, some people claim that means that you’ve accepted all the other levels. And that is not logically valid.
So once we’ve made precise what all these levels are, we can now have a discussion about which level anyone thinks that we should go up to. But we should not conflate all the different levels.)
It’s just that it depends what you’re trying to achieve and that depending on what you’re trying to achieve, you should look at the things that are relevant to the thing you’re trying to achieve or understand, and then be able to switch between thinking about relevant these things in this situation and those things in that situation.
我想，我們也都該把Eugenia用來傳達傳達解釋/理解情況的用語: “關於這個情況，我有一個這個面向的解釋(Here is an explanation of an aspect of this situation. )” 經常的學習套用。