On 11/9/2014 2:16 PM, Bruno Marchal wrote:
It is a matter of convention how much you put in the ontology, but if we are machine, it is absolutely undecidable if the "universe" has cardinality above aleph_zero.

So, with Occam, the motto would be to put as less as possible in the ontology.

Is it mere convention? I don't think you can define the natural numbers without the relation of successor. But given relations, then structures (like the set of all primes) are emergent.

Brent

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