That's what it is - a tool for working through those apparent contradictions — Banno
(9) is a tautaology — Banno
The law of identity allows that a thing could continue to be the same thing, despite undergoing change. — Metaphysician Undercover
All the properties object A has are necessary for object A to be object A, and all the properties object A has are essential for object A to be object A.
If object A changes into Object B over time, even if it has lost only one molecule, then object B cannot be the same as object A. — RussellA
The heat moves from one body to the other, in a process that can be described with mathematical predictability. — Banno
I don't see what relevance this has to the topic, unless you are claiming that the motion of molecules causes heat. — Banno
Sure, it's actually in this room. But it might possibly have been in the other. — Banno
“this very object, in the room it is in fact in, even at this very time” cannot possibly be in any other room. — Mww
How can that be ?
In logic, the law of identity states that each thing is identical with itself. Gottfried Wilhelm Leibniz expressed it as "Everything is what it is". Wilhelm Wundt credits Gottfried Leibniz with the symbolic formulation, "A is A". — RussellA
If object A changes into Object B over time, even if it has lost only one molecule, then object B cannot be the same as object A. — RussellA
Logic has advanced... — Banno
Are you content with this account? Is the property of having writ that post essential to your being who you are? Might you not have written it, yet have remained RussellA? — Banno
all of these things might have happened. They didn't, but they may have. — Banno
Recent modal logic gives us a way to deal with such suppositions. What you have proposed, does not. — Banno
Logic has advanced somewhat since Kant. — Banno
When object A requires a new description (because it's properties change due to the passing of time), this does not mean that it has become a different object. That's the very reason for the law of identity, to allow us to say that a thing maintains its identity as the same thing, which it is, despite changing as time passes. — Metaphysician Undercover
A person can maintain their identity as the same thing yet at the same time have different properties.
But how can an object maintain its identity as the same thing yet at the same time have different properties ? — RussellA
Permit me to take a stab at that. Properties 1. Essential i.e. critical to identity e.g. the 3 sides + the 3 angles of a triangle. 2. Incidental i.e. not critical to identity e.g. the color of the triangle above. — Agent Smith
Logic has changed. Whether it has advanced, is questionable. All the basic conceptions of modern modal logic are already contained in Kantian metaphysics, and have been classified as such since Aristotle. — Mww
I think I'd say logic has changed considerably since Kant, and I'd say that it's for the better too. — Moliere
Modal logic is more specific than Kant's. — Moliere
Maybe; dunno. Specific in what way? — Mww
With Kant's categories he is so certain that we know what he's talking about that he says we already know what he's saying. — Moliere
In this treatise I deliberately refrain from offering definitions of these categories, even though I may possess them. I shall hereafter dissect these concepts only to a degree adequate for the doctrine of method that I here produce. Whereas definitions of the categories could rightly be demanded of me in a system of pure reason, here they would only make us lose sight of the main point of the inquiry. For they would give rise to doubts and charges that we may readily relegate to another activity without in any way detracting from our essential aim. Still, from what little I have mentioned about this, we can see distinctly that a complete lexicon with all the requisite explications not only is possible but could easily be brought about. The compartments are now at hand. They only need to be filled in; and a systematic [transcendental] topic, such as the present one, will make it difficult to miss the place where each concept properly belongs, and at the same time will make it easy to notice any place that is still empty. — CPR Pluhar translation, A83/B109
These arguments overturned the conventional view, inherited from Immanuel Kant (1720–1804), that identified all a priori propositions as necessary and all a posteriori propositions as contingent. — Britannica
...just the way the system works. — Agent Smith
Again, yes, although one should avoid the temptation to deny the consequences for how we talk. So the discovery that water = H₂O leads us to conclude that necessarily, water = H₂O, or leave consistency behind....pure symbol manipulation — Agent Smith
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