Then you say this to me:jupiviv wrote: Actually Beingof1 is right in saying that the Infinite cannot be conceptualised in the same way that finite things are. A literal concept of the infinite would have to be fundamentally different from other concepts, and indeed other things, which is not possible.
I gave my definition for a concept. You were right the first time.Your argument, from what I gather, is that it isn't possible to conceptualise the infinite in any way whatsoever.
1. Finite things can exist by sharing the same place.My syllogism proves that it is possible to do so in an indirect way, i.e, by conceptualising the finite.
1. Finite things exist because other finite things do not exist in their place.
2. The totality of finite things is called the infinite.
3. The infinite does not exist because there are no finite things that it is not.
4. The infinite is not non-existent because no other finite things do not exist in its place.
5. The infinite lacks the properties of existence and non-existence.
example: 100 cents can hold the same place as one dollar.
2. A reference is not a premise as it needs an explanation or underpinning.
3. Excellent and good point sir.
4. Superb.
5. Right conclusion.
I agree with your conclusion and this means the infinite becomes a logical contradiction. In that case, why did you say it could be conceptualized?
Because that is what a logical concept is Diebert. Do you exclude all things from the infinite? If you are going to have a concept of the infinite - it must - of necessity - include all possible worlds.Diebert van Rhijn wrote:Why "all" characteristics or particulars?Beingof1 wrote:A concept is an idea of something formed by mentally combining all its characteristics or particulars in conjunction; a logical construct.
That may be a half hearted attempt at a conclusion - Homey don`t play that. That leads to belief-systems of dogma.It combines normally some characteristics or particulars to give some idea. It's just conceptual space to provide proper orientation. It's part of every conversation no matter the topic. You start a conversation, then you need to conceptualize and accept the severe limitations and errors in what you're trying to do.
You may be OK with fill in the blanks answers for reality - not me and good luck with that. You need to upgrade your information sources.
In general - I know. And yes, most conversation is like that. We are not talking about a "general conversation". We are being very precise in the subject and this requires a logical construct.In general conversations a general dictionary definition would do: "something formed in the mind; a thought or notion". Or we can make other distinctions: concepts as mental representations, as abilities peculiar to cognitive agents, or as abstract objects (from wikipedia).
Finally, I mean WOW. After all the hurdling over infinitesimals.So the question is perhaps not "can we really conceptualize the infinite" but "can we really do anything else"?
Now we are getting real close.
Are you ready to talk turkey yet or do we need to go around in a circle again?