Originally posted by Tera
Scriabin - That's the same answer as in the laws of nature thread. :p
Is time a physical thing that can be seen, touched, felt so on? Or is it a concept made up cause stuff happens and we observe them. I'd prefer the latter, but i won't say that I'm right.
The point about entropy is kind of interesting, as I like the idea that stuff is logical. And that s ...[text shortened]... e up by us. That stuff happens, and we can agree they happen the same order though, is not.
It is the same answer because it is the same question.It is an answer that logically follows from the terms of the question in both threads. It is also an answer true in all cases. It is a logically valid answer.
As for choosing to understand the universe and your own existence as a matter of logic, well, good luck with that.
I minored in philosophy taught by by a logician, not a theologian. Logic deals with the principles and criteria of validity of inference and demonstration: the science of the formal principles of reasoning.
It has little application or value in terms of observation or describing and explaining natural phenomena. It isn't suited to that. Simply because what you come up with logically may be a valid sentence has nothing to do with whether it has reference to the world outside the medium in which you choose to write out your equations. In other words, just because an argument establishes a valid proposition does not make it true.
There are many formal systems of logic, and Sentential Logic is one of the simplest. It is also known as "Propositional Logic". When people study formal logic this is usually the first thing that they study. Other more complicated systems include for example predicate logic (PL), and modal logic.
A system of logic is a set of rules that tell us how to make use of special symbols to construct sentences and do proofs.
It is elementary logic that to prove a proposition, you must come up with a convincing demonstration that some statement, reduced to its mathematical elements, is necessarily true, within the accepted standards of the field.
A proof is a logically deduced argument, not an empirical one. That is, the proof must demonstrate that a proposition is true in all cases to which it applies, without a single exception. An unproven proposition believed or strongly suspected to be true is known as a conjecture.
Thus, if you start from a premise that is not true, you cannot prove it so.
So, before you assume the truth of your assumptions a priori, then tell me you prefer reality to conform to your notion of logic, forgive me if I allow myself a chuckle or two.
I was taught propositional logic, and introduced to set theory, model theory, recursion theory, proof theory and constructive mathematics. These areas share basic results on logic, particularly first-order logic, and definability.
There are many logics besides first-order logic, however.
See http://euclid.trentu.ca/math/sb/pcml/
This is a free online text on mathematical logic.
If you are going to throw around the concept of logic, you might want to know something about that to which you refer.
Finally, it would be helpful if your final sentences in a post were coherent.