I don’t suppose you can find my Kindle now? I’ve been losing things a lot lately. That’s usually a sign I’ve been a bit tired and over-stressed/

]]>But we weren’t discussing the axiom. Jane’s “fundamental option” was an example of tha basic truth that critical thinking is about means and not ultimate ends, and in this she’s quite right. Let’s leave comparing infinities until she gets to it. The argument may be more subtle then.

]]>But I have a problem with the concept that human life is infinitely valuable. Mathematics has an arithmetic of infinity (see http://scidiv.bellevuecollege.edu/math/infinity.html

for a brief and simple discussion of Cantor’s treatment of infinity.)

Briefly, infinity plus infinity can equal infinity. So if you have a choice of saving 1 life or 10, it doesn’t matter which you choose. Either way you save something infinitely valuable.

Assume you live in a region which has a highway on which a lot of drivers are dying each year in accidents. You need to improve the highway. You also need a new hospital. You don’t have the resources ( materials, construction equipment, skilled labor) to do both at once. I would say you start with the one that will save the most lives. That doesn’t work if a life is infinitely valuable.

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