The Philosophy Discussion Forum

When I posed the following questions to ChatGPT: What is Godel's incompleteness theorem, and what does it mean? ... This is the conclusion I'm being presented with: Any consistent formal system powerful enough to do arithmetic will contain true statements that it cannot prove, and it cannot prove i...

Unfortunately, I still fail to follow your argument. You are using both language and symbols in ways that are not standard in the kinds of philosophical discourse that I am familiar with, and if it seems that I am 'arguing out of context' here, that is because I'm not even able to understand what t...

So if that is the case a proposition, as a thing, has no identity. No. A proposition is not a thing. The Wikipedia article puts it well here: Identity is a relation on individuals. It is not a relation between propositions, and is not concerned with the meaning of propositions, nor with equivocatio...

If the law of non-contradiction asserts nothing about identity then A=/=-A requires A and -A as having no identities thus there is no LNC. LNC requires A=A and -A=-A if A=/=-A where at the meta level it is revealed as (A=A)=/=(-A=-A)....which also simultaneously points out the LI is not equal to it...

If the second step is an error than -P is not an identity and cannot be asserted as an identity in the law of non-contradiction. I don't know what you mean by this. The law of identity and the law of non-contradiction are two different things. The law of non-contradiction asserts nothing about iden...

Negation of Classical Identity Laws Using Classical Identity Laws. I. 1. (P=P) is the law of identity. 2. (-P=-P) is the law of identity. It seems to me that you've made an error at this second step. While this would be true for any number P, it is not true for non-numbers. The law of identity stat...

Negation of Classical Identity Laws Using Classical Identity Laws. I. 1. (P=P) is the law of identity. 2. (-P=-P) is the law of identity. It seems to me that you've made an error at this second step. While this would be true for any number P, it is not true for non-numbers. The law of identity stat...

We all have to begin with a kind of personal commitment to set of beliefs. That is as true for the secularist as the religious or ideological person. The secularist has to assume something like, "The material world is all that really exists," perhaps, or "The current state of the wor...

To be continued. I've read your response carefully, and can see you're working through the issues with great thoughtfulness. And I realize you're not done, so I don't want to jump the gun. But maybe I can offer a couple of tentative caveats, as you continue. It’s been more than a week since you res...

… But secularism cannot accept such reasoning as the above. There can be no appeal to the Creator allowed, and no Protestant explanations of WHY people have these alleged rights. So we come back to the question: WHY would secularists be telling us to believe that all people have such rights? What's...

If the meaning of "objective" is to be independent of an observer and "subjective" is to be dependent upon an observer, then I think, if Immanuel Kant was right about phenomena and noumena, then it could be arguably fair to say that a conscious being cannot utter a non-subjectiv...

So, is pain an objective property or a subjective property if it is the case that more than one human being would feel pain under circumstance X? Objectivity isn't about feelings. It's about how things really are . If a billion people are deluded, in that they think something unreal is real, or som...

So, for the sake of discussion and clarification, let's take another example: the belief that the earth is flat or round. If I lived in a rural place a thousand years ago, and I never travel farther than, say from Athens to Sparta, then holding the belief that the world if flat works just fine - re...

What you're saying is that you knew because you compared the statement to how things are in the external world. New York really is in the region they call New York State. So the statement was true. And it was true in a way such that not only should you believe it, but that I should, too. It was obj...

I know I'm interjecting and maybe interrupting a good dialogue here but thought I'd offer an alternative way to think of this dichotomy. Please do. Welcome. Thank you, it's good to be here (and to be welcomed!) :) Whether a statement is true or not, or how or whether we can determine the truth of a...