By similar reasoning, neither of us should be discussing epistemology since none of us are apparently accredited in the field.
It is not accreditation I am talking about, but familiarity with the subject matter. Since we are discussing the claims of an 11-page article, all the accreditation I need I have got.
Yet you persist to back dated epistemological theory, when you should admit your lack of competence many pages ago and end the discussion. Why the dichotomy in thinking?
Let’s put it this way. Given our collective limited knowledge on the issue (to use a controverted word…), we have to have limited aims in the discussion. I believe all that I need achieve here is the demonstration that empiricism can be self-consistent and is well evidenced, which means we have reason to believe in it. This requires only a limited understanding of epistemology, and where I cannot go due to ignorance, I won’t. The philosophy of maths outside arithmetic is one such area, but I think that ignorance is shared.
As for mathematics (e.g. arithmetic) being tautological, present your evidence. To date, you presented nothing other than pronouncements that they are tautological. Although, you’ve agreed in prior messages that mathematics is axiomatic, so you are now contradicting yourself.
Not quite. The fact that I need to clarify again is not good evidence of thinking here. You asserted that maths was axiomatic, I thought it was not - in the common sense of the word. So I looked it up on wikipedia and conveyed that maths makes use of logical and non-logical axioms, which I also said I am not familiar with. Hence I have not agreed to your use of axiomatic, because I thought I disagreed, and if you meant the sort of axioms wikipedia describes, then you and the page agree. I am not convinced that this could make the whole of maths un-tautological, but as to arithmetic, we can still say that it is.
The evidence: 1+1=2 because 2 and 1 are inter-referential concepts. Therefore arithmetic is tautological. There is no way that 1 could possibly equal more or less than 2 when 1 is added to it. If it did, we’d be operating under different definitions, that’s all.
In your messages, when you state ‘many people say X’ in the context these people are qualified experts, you are using an appeal authority. When you point out and individual without a citation, you are engaging in an argument by authority. If you believe your arguments stand without such authorities, then don’t mention them. If you feel your argument is backed by authorities, it’s good form to provide a citation so that other can verify the claim being made. Otherwise, it’s just a claim to authority to gain merit to a point without substantiation.
I have argued no substantial point by reference to authority, and if you think I have feel free to quote it with a line through or something. The same for anyone else in the discussion.
If we sense that we are thinking, then what senses are being used? Also, why don’t we need how we do so? If you don’t know how thoughts are perceived, how can you be sure that senses are being used to perceive thought? Doesn’t empiricism state that all knowledge is sense experience, and if you are sensing your thoughts then logically you can identify the senses used. Since you’ve made the claim that thoughts are sensed, the burden of proof is on you.
All knowledge is perception-based
Thoughts are perceptible
Therefore the source of the perception of thoughts is knowable
Is not a sound argument. All it means is that we can have knowledge of our thoughts within empiricism, not that we are able or obliged to know the sense-mechanism by which thoughts are perceptible.
Further, it seems you might be wanting to reverse it like so:
The source of the sense is not known (or cannot be known), therefore the proposition that all knowledge is perception-based is false.
That would of course be denying the antecedent and also not sound.
To clarify, we do not need to know how the human eye works to realise that we have the sense of sight. Similarly, we do not need to know how we sense that we are thinking to realise that we can tell when are.