Processes are not a problem. Swimming, runnning, etc. are universals.There might be an error even here. Perhaps at least some of what you call "abstract objects" are things we do, not things we find. — Banno
True, the language we develop has indications of what exists but if our interest is ontology, language is subordinate to reality. In the middle ages, language included much talk of "witches" but that didn't mean witches really exist.Those with a background in philosophy may recognise what I am suggesting as deriving from philosophy of language. Instead of looking for the meaning of the terms we use, stand back and look at how they are used. — Banno
I see problems with defining abstract objects in terms of sets because it seems you need a definition of the universal before you can decide what is or is not in the set. For instance, "American" is used to refer to people in the U.S. and also to anyone living in Canada, Chile, Cuba, etc. (i.e., North and South America taken as continents, not a particular country.) We need to understand the meaning of "American" before we can define the set.'things we do', which is a set, and therefore an abstract object — Tate
You originally asked: " Can you give me an example, one will do, of a pure abstract object and by that I mean an (abstract) object that has no links whatsoever with the physical world?"The aether is a medium for waves, both these concepts have links to the physical (water waves/ripples). — Agent Smith
True and most working mathematicians say discovered; i.e., they accept Mathematical Platonism, which says mathematical objects exists "out there." True, our minds apprehend them but "triangles exist only in our mind" seems wrong. A geometry teacher is not trying to teach about what exists in his/her mind but the triangle "out there." Question: suppose I say triangles exist in my mind and they have four sides. How could anyone dispute what I say? Sure, triangles in another person's mind might have three sides but so what? Triangles in someone else's mind might have five sides. Clearly a definition of triangle is needed. Would you agree that definitions exist in the external world not only in our minds?there's a controversy with regard to whether math is invented or discovered. — Agent Smith
If all objects are viewed as individuals, it seems that some types of knowledge would be difficult or even impossible. Yes, I could gain knowledge about this particular object but I couldn't apply that knowledge if I encounter a similar object later because I wouldn't recognize the two objects as being instances of the same universal.they view all objects as individuals — Richard B
I'm not sure I understand what you're saying. How do we create a language of universals without acknowledging the existence of universals?Why would I need to hypothesize that inhabitants who use universals can perceive some Platonic realm, when I simply can appeal to our make up that favors detecting commonalities and creating language of universals vs detecting differences and name individuals? — Richard B
Sure, just as we can have the idea of a unicorn without ever having seen one.Can you have an idea of "tree" without having first perceived more than one tree? — Harry Hindu
A particular tree is a concrete object which we recognize as an instantiation of the idea of a tree. The idea of a particular tree is the idea, say, of the oak tree in my yard.What is the difference between the idea of the universal tree vs the particular tree? — Harry Hindu
What does the idea of two look like? It has various properties: synonym for pair; the first natural number after one; the only even prime number, etc.What does the idea of two look like in the mind independent of the scribble, "2" or "two" and independent of the observation of two particulars? — Harry Hindu
Is the idea of "two" independent of observation of two particulars? Yes. I grant that empirical experience often leads the mind to ideas but I regard the ideas as pre-existing. Just as when I take a walk, I see a rock that was there before I saw it. Similarly, the idea "two" existed before anyone thought of it.How do you know that you are holding the idea of 2 in your mind independent of these forms — Harry Hindu
My view is that ideas already exist in the mindscape, just as trees exist in the landscape. Seeing a pair of apples may awaken our mind to the idea of two, but the idea already exists. Any being which lacks the mental capacity will never perceive the idea "two." Imagine an earthworm, for instance, crawls over two pebbles. I doubt the idea of two ever enters what mind it has.From where did we get the idea of two if not by first observing more than one thing? — Harry Hindu
See previous answer. All ideas exist in the mindscape. Some minds (like ours) access ideas to make sense of sensory input. We find an idea in the mindscape that fits what we observe.Newton found F=ma. Einstein found different ideas which better describe what we observe.How did you come to experience the universal by observing just one pattern (a particular) of rough brown patches and smooth green patches? — Harry Hindu
Yes, thank you.Brief defense of universals, bolds added. — Wayfarer
OK, if we require “exist” to apply to only things in space/time, then universals don’t exist but they subsist.But universals do not exist in this sense; we shall say that they subsist — Russell, World of Universals
How about the following? "Luminiferous aether or ether ("luminiferous", meaning "light-bearing") was the postulated medium for the propagation of light. It was invoked to explain the ability of the apparently wave-based light to propagate through empty space (a vacuum), something that waves should not be able to do."Can you give me an example, one will do, of a pure abstract object and by that I mean an (abstract) object that has no links whatsoever with the physical world? It should exist only in the mind is what I'm saying. — Agent Smith
What could this mean “we don’t directly experience concrete objects” I see a tree, I go over to touch the leaves, smell the bark, hear the creaking of the branches, or taste the fruit it produces. How more direct can we get? — Richard B
I have no further comment on abstract objects, but I do have something to say about all these purported "illusions" the mind creates. . . . Secondly, the generalization from such "illusions" is dubious - — Agent Smith
This way however, we may at least indirectly experience an abstract tree - through experience of concrete objects and their concrete causal associations in the brain. — litewave