On 12/8/2018 2:46 PM, Jason Resch wrote:
On Sat, Dec 8, 2018 at 4:13 PM Brent Meeker <[email protected] <mailto:[email protected]>> wrote:On 12/8/2018 11:02 AM, Jason Resch wrote:On Sat, Dec 8, 2018 at 4:04 AM Philip Thrift <[email protected] <mailto:[email protected]>> wrote: What is more primary than numbers? 1. Numbers come from counting. Numbers come from relationships upon which objective statements can be made (with or without objects to count). For example, I can make and prove a statement about a number with a million digits. Despite that there are not that many things (in my vicinity) to count.But only by abstracting from and generalizing some rules based counting and then postulating that they apply to arbitrarily large numbers of things. For example, arithmetic assumes that you can add 1 to 10^1000 and get a different number. But that is purely an assumption. Counting could never confirm it.So then we agree that numbers don't inherit their existence or properties from from counting.
No, I agree that numbers do get their properties from counting by generalization, but not that they exist.
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