Sure. I observe 2 oranges. I can also observe the world around me. Although observation is a part of the scientific method it is not the scientific method it self. Perhaps what I said can use more clarification, take Pythagorean theorem. This is not something which is proverable through science or observation but rather mathematically through logic. Its not something which you can put under a microscope.
Not directly since there are no perfect triangles but it ties into sine and cosine which ties into the equations that govern light. Which are always true no matter how often we measure them.
Right, so in Math we have axioms and we build upon those axioms and construct theorems which are deductively true. They are not true in the same way a scientific theory is. My point is, not everything that can be true needs empirical verification. Math is one example.
While what you say is true, tautological arguments are not useful in and of themselves. Internally consistent mathematics is not a useful construct unless we can empirically discover structures that those mathematical systems model. Einsteins theory of relativity is not impressive without the empirical discovery that the it is/was a better model than the existing Newtonian models that proceeded it.
To argue that internally consistent tautologies are true and are of equivalent usefulness is a bad faith argument that inappropriately equates two logical constructs.
I give you an orange and then i give you another orange, how many oranges do you have empirically.
I will need a research grant and 3 interns.
After extensive testing we have a 95% confidence of mean of 2.
Sure. I observe 2 oranges. I can also observe the world around me. Although observation is a part of the scientific method it is not the scientific method it self. Perhaps what I said can use more clarification, take Pythagorean theorem. This is not something which is proverable through science or observation but rather mathematically through logic. Its not something which you can put under a microscope.
Not directly since there are no perfect triangles but it ties into sine and cosine which ties into the equations that govern light. Which are always true no matter how often we measure them.
Right, so in Math we have axioms and we build upon those axioms and construct theorems which are deductively true. They are not true in the same way a scientific theory is. My point is, not everything that can be true needs empirical verification. Math is one example.
While what you say is true, tautological arguments are not useful in and of themselves. Internally consistent mathematics is not a useful construct unless we can empirically discover structures that those mathematical systems model. Einsteins theory of relativity is not impressive without the empirical discovery that the it is/was a better model than the existing Newtonian models that proceeded it.
To argue that internally consistent tautologies are true and are of equivalent usefulness is a bad faith argument that inappropriately equates two logical constructs.