Mach
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As a general thread about reason, what it is, and why it's useful, I have linked a site that has the basic axioms, which are almost every thing you need.
Do you see any flaws in this?
If not, do you accept it?
Axioms: The Eight-fold Way
In summary for those not interest in links:
(I formatted)
=============================
So the axiomatic method of reasoning is more than a technique of argument useful for refuting philosophical skeptics. It provides us with a method of grounding fundamental truths about reality. This makes the use of axiomatic reasoning a crucial resource in dealing with issues of causality and the problem of primaries, which lie at the root of the epistemology of science.
Three Laws of Logic:
1. The Law of the Excluded Middle
2. The Law of Contradiction
3. The denial of a true statement is false, and the denial of a false statement is true.
The three logical axioms are the necessary and sufficient conditions for the existence of truth. Taken together, they may be formulated as the axiomatic statement: There is such a thing as truth. That this is undeniable and inescapable is clear; for if there is no such thing as truth, there is no such thing as falsehood, and one cannot assert that this (or any other statement) is false.
Three metaphysical axioms.
1. existence
2. identity
3. causality
These three metaphysical axioms are equivalent to an assertion of the correspondence meaning of truth. Taken together, they say that there are true statements about reality.
Two epistemological axioms.
1. consciousness
2. volition.
The two epistemological axioms are equivalent to the statement (also of course axiomatic) that it is possible to know the truth.
Summing up, we may say that the three groups of axioms differ ultimately only in their scope:
The logical axioms apply to everything that can be true.
The metaphysical axioms apply to everything that is true.
The epistemological axioms apply to everything that is known to be true.
=======================================================
This is the general set of axioms one can use to define truth, find it, and know it.
-Mach
Do you see any flaws in this?
If not, do you accept it?
Axioms: The Eight-fold Way
In summary for those not interest in links:
(I formatted)
=============================
So the axiomatic method of reasoning is more than a technique of argument useful for refuting philosophical skeptics. It provides us with a method of grounding fundamental truths about reality. This makes the use of axiomatic reasoning a crucial resource in dealing with issues of causality and the problem of primaries, which lie at the root of the epistemology of science.
Three Laws of Logic:
1. The Law of the Excluded Middle
2. The Law of Contradiction
3. The denial of a true statement is false, and the denial of a false statement is true.
The three logical axioms are the necessary and sufficient conditions for the existence of truth. Taken together, they may be formulated as the axiomatic statement: There is such a thing as truth. That this is undeniable and inescapable is clear; for if there is no such thing as truth, there is no such thing as falsehood, and one cannot assert that this (or any other statement) is false.
Three metaphysical axioms.
1. existence
2. identity
3. causality
These three metaphysical axioms are equivalent to an assertion of the correspondence meaning of truth. Taken together, they say that there are true statements about reality.
Two epistemological axioms.
1. consciousness
2. volition.
The two epistemological axioms are equivalent to the statement (also of course axiomatic) that it is possible to know the truth.
Summing up, we may say that the three groups of axioms differ ultimately only in their scope:
The logical axioms apply to everything that can be true.
The metaphysical axioms apply to everything that is true.
The epistemological axioms apply to everything that is known to be true.
=======================================================
This is the general set of axioms one can use to define truth, find it, and know it.
-Mach