Danoff
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Precision of language is important to avoid sloppy reasoning.
Agreed.
1) Objectivity is related to the truth. An thing being objective means that it is always true regardless of the person considering the matter.
Incorrect. Objectivity does not depend on perception. Only objective statements can be false or true.
2) There is no objectivity in logic. A logical argument may well be wrong in fact. See the example given above concluding that lizards are mammals - it is a perfectly logical argument, yet there is no objectivity whatsoever in the statement.
See above.
3) Reasoning is always subjective. See wikipedia quote above.
- Mathematics (but not scientific theories/predictions and logic) is both objective and subjective. The way in which we perceive the system is subjective. One may argue, however, that some of the truths explained by mathematics represent an absolute truth and so it is objective.
- No matter what the position on mathematics is, it does not relate to this discussion. You do not claim to base your conclusion on a mathematical proof. In any event, there is no absolute truth in the propositions you've made.
Mathematics (like logic) is objective based on the information given. Trusting that when you add one object to another object, a third object will not suddenly spontaneously appear is subjective only in the philosophical sense. Take the nature of the universe as a starting point and Mathemtics is objective.
(Taking the nature of the universe as a starting point is the only rational approach to reality)
4) To give an example:
Your argument - case 1
Subjective assumption: You value the idea that actions should only be taken if it is objectively justifiable.
I never made that argument. I said that actions could be classified as objective and subjective, and that the subjective is inapplicable to human interaction. I did not say that anything should or should not be done. I merely classified objective vs subjective, explained why (due to their nature) objective applies to everyone and subjective does not, and concluded that if we are to proceed objectively certain behaviors are consistent with that goal. Finally I called these behaviors "human rights".
And logically you arrive at the conclusion that in the trolley example we should not act because there is no objective justification for so doing.
Logically, one should not act in the trolley case if one's goal is to maintain objectivity (and be consistent with human rights). If one would like to apply subjective values to the situation, one can choose to act, but that person needs to understand that they have applied an arbitrary value judgement to others and that it is fair for others to do the same to them.
A rational alternative argument - case 2
Subjective assumption: I think it right that actions could always be taken unless there is an objectively discernible reason as to why I shouldn't so do it.
Has nothing to do with our conversation.
It is because of your subjective preference for the assumption mentioned in case 1 that you've logically arrived at your conclusion.
See above.