Re: Existence of mathematical entities (Re: Successor Axiom: on what grounds TF?)

From: Paul Holbach (paulholbachSPAMBAN_at_freenet.de)
Date: 02/21/05 

Date: 21 Feb 2005 14:08:01 -0800

> examach...@gmail.com wrote:

> Even if it is true
> that "Cerberus refers to nothing", the existence of mathematical
> entities does not follow.

Certainly not!
The topic <referential vs. irreferential singular terms> is independent
of the topic <realist vs. anti-realist philosophies of mathematics>.

> At any rate, the question to ponder is
> whether the sentence C1 has any
> meaning in the denotational sense.
>
> C1: Cerberus has four legs.

C1 is false because it is not the case that Cerberus exists, and what
does not exist does not have four legs.

Regards
PH

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