Originally posted by jaywill
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The axioms that Bertrand Russell Principia Mathematica uses do not require 'proof' because they are the axioms that Bertrand Russell use for the definition of what is meant by the word “number”. Therefore, the axioms must be true by definition of number -unless in the unlikely event you disagree with his defini Bad philosophy will result in bad science. Good philosophy will result in good science.
…But this method rests on something that we can call faith. …
No. What it is based on in this case is his definition of “number” and a definition isn’t “faith“. How can it be “faith” to define number the way he does? Either you agree with his definition, in which case he has absolute deductive proof for all his mathematical theorems because they logically follow from his definition -so no “faith” there; or, you disagree with his definition, in which case you are not talking about the same thing as he is when he and you would talk of “number” -again, no “faith” there -just a disagreement with semantics.
… Any attempt to defend reason by using reason is circular.
Can you see that defending reason with reason as a tool is a circular argument? …
Firstly, does that mean you disagree with using reason to derive one’s beliefs?
If so, then if I am to try to deduce if a mathematical theorem is true or false in a maths exam, if I shouldn’t use reason to do this task then what should I use in the place of reason? -read verses from the Bible?
You said on one of your previous posts that you have “strong reasons” for believing there is a god. Doesn’t that imply that you think you are using “reason” to derive your belief that there is a god and, if so, why would you except reason there and yet reject it here?
Secondly, in this case we are talking about reasoning by deductive logic as opposed to reasoning by inductive logic. All reasoning by deductive logic is fundamentally tautological. It typically in the from: If proposition X is true then …(the actual proof of the argument here)…therefore, proposition Y is also true. In this form, the reasoning is non-circular. Also, the is no reason to “defend “ this type of reason because it is based on such self-evident things as “X is not (not X)” etc -it is not “faith” to believe that “X is not (not X)”, it is just a matter of tautological logic.
… Now let's consider the Darwinist's world to see how his science is based on faith. What is the source of reason for the atheistic materialist Darwinist?
He says our minds arose from mindless matter WITHOUT intelligent intervention. This is a belief of his faith because it contradicts all scientific observation, which demonstrates that an effect cannot be greater than its cause. …
Err, no. How “great” a cause or effect is, is not something that is universally scientifically defined. If you say that a cause is “very great”, what does that mean? does it mean it happens on a “large” scale or does it mean it happens with very “high” or “low” temperature or what? It may be “great” in one way and yet “trivial” in another (for example, happen on a large scale but at “modest” temperatures or happen without any noise etc).
Scientists don’t have a handy “greatness meter” that measures and quantifies the “greatness” of a cause or effect.
It can be scientifically observed that the tiny amount of vibration from a noise can cause a vast amount of unstable snow to avalanche all the way down a mountain causing much destruction -I have no idea of how you would quantify “greatness” but I think you would say that this is an example of an effect being “greater” than its cause -right?
…What Cause A does not have to give it cannot give to Effect B. …
???
What does that mean?
… The science of the Darwinist is based on his faith, his philosophy. …
No. It is based on the evidence and reason.
…think our ability to reason came from one of two sources:
1.) It came from preexisting intelligence.
2.) It arose from mindless matter.
I think #1 represents the truth. I don't have enough faith to believe #2. …
-and you don’t need “faith” to believe #2; you need evidence and reason.
…I would encourage you to read the entire chapter 11 of the book of Hebrews in the NT which is dedicated to the matter of faith. …
No thanks, I am not interested in faith; I am interested in evidence and the application of reason.
…I am all for the continued advancement of science study. But I realize that science rests on philosophy and faith. Bad philosophy will result in bad science. Good philosophy will result in good science. …
Rigorous scientific method that all real science is currently based on is “good philosophy “ (if you can call a method a “philosophy &rdquo😉. Can you give me an example of something you call “good science” that is not based on rigorous scientific method?