I don't think it requires redefining "physical" and "natural", it means reconsidering the nature of our thoughts. A visual image is something distinct from the object seen, it's a functionally accurate representation of the object. In general, our conceptual basis for a thought is based on the way things seem to be, but the seemings may be illusory. It seems as if a concept is a mental object, but when employed in a thought, it may more accurate to describe it as a particular reaction, or memory of a reaction: process and feeling, rather than object.Physical" means now the reality it calls to mind now. Its meaning may change over time (and has), but the present paradigms are based on our conceptual space as it now exists. Changing paradigms involves redefining our conceptual space, and a consequent redefinition of terms such as "physical" and "natural." — Dfpolis
I agree with this, and suggest this may just mean we have a problematic paradigm. E.g. reference to "information" seems problematic, because information connotes meaning, and meaning entails (conscious) understanding - which seems circular, and it doesn' seem possible to ground these concepts in something physical. That doesn't prove mind is grounded in the nonphysical, it may just be an inapplicable paradigm.Like the problem of distinguishing self-data from object-data, this seems to intimate that we have a capacity to grasp intelligibility that is not fully modeled in our present understanding. — Dfpolis
Mankind has invented this forum. Problem solved.The threat I am referring to, is the inability for human beings to find activities that suitably pass the time. — Jhn4
What threat(s) to our existence are you referring to?when do we require new technology? When do we decide that the human race has reached stagnation and cannot collectively produce new 'content' to keep itself fresh?...
...I would argue that we are reaching that stage in history now, and that it poses a threat to our existence, and it is an emergency that needs tackling. — Jhn4
I think it's a product of the pedagogy of mathematics, physics, logic and some related fields. We're taught that triangles and laws of physics (expressed as equations) exist. This leads us to speak of them that way, and this leads to treating them as ontic, and not just as a manner of speaking.That’s right. The issue is this should be self-evident and the problem is people just don’t understand the words. — Zelebg
I disagree with describing it "narrow". It is parsimonious, but leaves nothing unaccounted for. It's reasonable to methodologically treat abstractions as independent existents, but that utility does not depend on an ontological commitment.Again, your definition of what exists is too narrow. — Wayfarer
you could explain it through a simple mathematical formula (time= distance/speed). And as such, we are back to abstracts. Mathematical abstracts.
Are they real? (Where do they come from, a priori.) How is this phenomenon even possible? — 3017amen
Mathematical models don't entail the independent existence of platonic entities.Does it really make more sense to suggest the relations exist independently, and the states of affairs that exhibit them have some sort of ontic relation to those platonic objects?
— Relativist
I believe so. Don't overlook the fact that the current model of the so-called fundamental constituents of matter, the so-called 'particle zoo', is a mathematical model. — Wayfarer
The definition of triangle is not impacted, just the ontology behind it. There are states of affairs that have triangularity among the constituents. We can mentally consider the property "triangular" while ignoring the other details of the object, but that doesn't require the abstract object "triangle" to be ontic. It's a semantic convenience, and has the utility of allowing us to do the math,but we can do the math witthout making an ontological commitment to them.what is the status of the definition? I would have thought that triangles would be discovered in all possible worlds, in other words, their reality is not dependent on our definition of it, but our definition of it must conform to the concept
Yes, I'm assuming a reality independent of the observing mind; i..e. I deny solipsism. But this belief is not a deduction, it's just an articulation of a component of our intrinsic (not deduced) view of the world. While it's possibly false, that mere possibility is not adequate grounds to undercut the belief in an external world - a belief that is directly derived from considering our hard-wired relation to that world., you're assuming a reality independent of any observing mind, but that assumption might be philosophically problematical, i.e. it might not be as self-evident as you're assuming it to be. — Wayfarer
Zero is second order: it is conceived as a negative fact, like removing the apples from a basket, one by one, ultimately leaving 0 apples. Negative facts are indirect - they don't tell us what IS, they tell us a subset of what isn't. One refers to 0 apples in this example only because of the psychological context - we're considering apples. Although the basket has no apples, it may contain oranges and orangutans. It is the indirect nature of negative facts that makes them second order.I see. If I understood you correctly then there are such things as second-order abstract objects e.g. tesseract. However zero and infinity are first-order abstractions in my opinion; so they should have concrete instantiations. — TheMadFool
Consider how the notion of infinity is manifested in your counting example. Counting is a process. There is no infinity at any identifiable step of the process. Rather, infinity manifests as the process itself, one that never ends - and process is not an existent. It's still a reasonable way to conceive of a potential infinity, but this conception doesn't work for an actual infinity - including a past infinity. A conception for an actual infinity cannot be some ongoing process. It would entail a COMPLETED process.I agree it can't be completed and my intuition on the matter may be off the mark but consider this: I sometimes see only part of a person, say when that person is behind a tree or low wall but that doesn't mean the person doesn't exist does it? — TheMadFool
If you mean this article, then it doesn't say that, and it would be pretty incredible if it did, because the best established cosmological model to date implies an infinitely extended universe without the assumption of an infinite past. Note that the article spends considerable time talking about inflation, which is less well established than standard Big Bang cosmology, but inflation doesn't imply what you claim either. — SophistiCat
At least you see it's different. I consider rational belief to require rational justification, and logical consistency seems inadequate as a rational justification. 90-dimensional cube analogues are logically consistent, but there's no rational basis for believing they exist in objective reality.As for your first order/second order abstractions, that's something completely different. I won't go further than just to say that I am not buying your epistemological construction. — SophistiCat
The first article showed that, according to accepted physics, spatial extension can only be infinite if there is an infinite past - that's why I focused on past time.I was talking about spatial extension. Simply put, if space is infinite, which seems plausible from what we know, and if the rest of it looks much like what we can see around us, which is very plausible, then there's your actual infinity (if by that you mean an infinite number of material objects). — SophistiCat
This does not apply to my claim. Sure, it's coherent - his statement entails no logical contradiction, but it circularly assumes the infinity exists, and it is that assumption that I challenge. The concept of infinity is a second order abstraction - an extrapolation of first order abstractions. (see the last paragraph of my last response to TheMadFool). A 90-dimensional analogue of a cube is an extrapolation of a cube. It could be described coherently, and consistent mathematical inferences could be made- nevertheless, this does not justify believing there exist objects of the world that correspond to it (there would actually have to exist 90 spatial dimensions). The general lesson is that we should be suspicious of second order abstractions - the mere fact that they have logicallly coherent properties does not establish their having real-world instantiations. Something more than logical coherence is needed to justify believing it.Smith does address the sort of argument that you are hinting at in his section VI:
the collection of events cannot add up to an infinite collection in a finite amount of time, but they do so add up in an infinite amount of time. And since it is coherent to suppose that in relation to any present an infinite amount of time has elapsed, it is also coherent to suppose that in relation to any present an infinite collection of past events has already been formed by successive addition.
— Smith, Infinity and the Past — SophistiCat
Your suggesting that: since concrete objects entail abstract objects, that all abstract objects entail concrete objects. That does not follow; it commits the fallacy of affirming the consequent.What I'm aware of is this: every abstract idea is basically mined from the concrete.Your numerical example is perfect for demonstrating that: an idea pulled out of sets/collections of concrete objects. If so then zero must be an abstraction of sets that contain no members. Infinity, being more of a concept than an actual number, is to me, simply an extension of finite concrete sets, understandable in terms of the never-ending process of adding elements, say adding 1 to the preceding element, to a preexisting set. — TheMadFool
Yes, I assume that the images in our mind are different from the objects beyond our minds. Only you have access to your mind's contents; the content is subjective, and it comes to exist solely through mental activity, and ceases to exist when your mind ceases to exist (or sooner; you don't remember all the details of all your past experiences). This is different from objects of the external world, which exist independent of minds - they have objective existence.I say that such an assertion implicitly pre-supposes a division between the 'real world' which is presumed to exist independently of any conceptual framework, and the purported 'internal world' of ideas, concepts and abstractions, but that this division is really a false dichotomy. — Wayfarer
The objects of the world are states of affairs whose constituents have relations to one another, and these relations can be described mathematically. I'm not saying the rekations don't exist, I'm just saying they don't exist independently of the states of affairs in which they are instantiated.And the problem with your theory of numbers, is that it fails to account for the 'unreasonable efficacy of mathematics in the natural sciences' — Wayfarer
Each TV has its own set of pixel producing devices, and while you and I may perceive nearly identical images, the images in my brain are in MY brain, not yours.The abstraction "triangle" that exists in your brain is spatially located in your brain, so it is not the identical object located in my brain.
— Relativist
It is no more ‘located in the brain’ than actors are located inside televisions. Rather a rational mind is able to recognize such concepts which however are not dependent on being recognized in order to be real. — Wayfarer
You have described an uncomp!etable task,not an existent.Infinity exists for the simple reason that if you were to task me to write down all the natural numbers then that would be an instantiation of infinity in the real world. — TheMadFool
Negative facts do not establish what exists.If I had 5 pennies in my wallet and I gave you all of them then my empty wallet is a real-world instantiation of zero. — TheMadFool
As I see it, the concrete precedes the abstract, the latter being derived from the former. Doesn't it follow then that "all" abstract objects will invariably be instantiated in a concrete object? — TheMadFool
We can abstractly consider geometrical objects of 4 or more dimensions. That doesn't imply such things exist in the world.As I see it, the concrete precedes the abstract, the latter being derived from the former. Doesn't it follow then that "all" abstract objects will invariably be instantiated in a concrete object? — TheMadFool
I'm not insisting that only physical objects have existence - I'm open to other possibilities, but I suggest we should be parsimonious in our assumptions of what actually exists in the world. I'd be fine accepting the existence of angels and devils despite being immaterial, if their existence is needed to explain some aspect of the world. I accept the existence of mental objects (exactly what they are depends on what the nature of mind is). On the other hand, abstract objects (all of them, not just infinity and zero) ostensibly exist independently of minds. Where are they? Why include them an an ontology? They aren't causally efficacious, and they can be accounted for without assuming they are components of the world. We need to treat them as existing when doing math, but this utility doesn't force us to treat them as actual, independent components of the world. Math works just fine even if they're just useful fictions.It depends on what you mean by exist doesn't it? From what I gather existence to you has to be physical - tangible and perceivable through the senses. Existence so defined implies nothing of the mind, let alone numbers, exists. The onus then is on you to show us why you're specifically concerned about infinity and zero. What about their nonexistence is nontrivial? — TheMadFool
If one apple exists on a table there is one apple. If zero apples exist on a table there are zero apples. zero exists. — christian2017
Physics will never be able to prove the past is infinite, all it can possibly do is to show that no past boundary of time has been found.The article says quite clearly, and more than once, that we don't know whether the universe is spatially finite or infinite. We can estimate a lower bound on its size, but not an upper bound. The simplest topology consistent with our observations at large scales is an infinite, flat space; this is what the most common current cosmological model posits (so-called FLRW model). However, there are also closed topologies that are consistent with the same observations. — SophistiCat
Thanks for the article. I'd seen it a few years ago, but forgot about it. However, it does not address my argument.As for your conceptual anti-infinitist argument, this is an old and surprisingly persistent confusion. Quentin Smith had a nice analysis of this and several other such arguments in a 1987 paper Infinity and the Past.
Setting aside the question of what quailia are, colors are first order - we consider objects that are red, and abstract redness from the memory of those perceptions. The geometrical figure "line" is second order - we may envision a drawing of a line on a page, which is imperfectly straight, and 3-dimensional, and imagine its ideal form as one dimensional. A similar process with 2 dimensional objects.I’m not sure if that article makes one interesting distinction about the abstraction algorithm called “visual perception”. There are colors, clearly an abstraction of who knows what order, but then, there are lines and shapes, and countable discrete things, not quite abstracted, but rather mapped kind of directly. — Zelebg
Indeed the Way of Abstraction is grounded in the real world: first order abstractions are mental creations formed by considering several similar (actually existing objects) and omitting all features except for those held in common. Second order abstractions are formed by extrapolating from first order abstractions - they are abstractions of abstractions, and these are not grounded in existing objects (unless they can also be formed in first-order fashion).While it is true that abstract concepts only exist in minds as mental entities, minds themselves have no other source of information than the actuality of the external world, so they are all ultimately grounded or abstracted from the real world and are really only extrapolations and variations on the theme provided by the universe itself. — Zelebg
I was referring to that fact that infinity is not a number that is mapped to. That fact doesn't entail an upper bound.As far as we can see integer numbers are instantiated or mapped to the real world, how do you find it reasonable to assume this relation abruptly stops above some very large number or below number one? — Zelebg
You disagree with foundationalism, but do you have any other particular system for evaluating the reasonableness of your beliefs, and the beliefs of others?I think no beliefs are properly basic, because foundationalism is false, — Pfhorrest
You are giving weight to changing the "status quo" and it seems you are saying Bernie, and only Bernie can possibly do that.If Bernie runs, even if it were more likely that he would lose to Trump, there's still a good chance Bernie will win. Let's call that chance x%.
That means there's a (100-x)% chance the status quo will change in the opposite direction.
A risk-based approach means Bernie is the only viable candidate. — Benkei
I don't think anyone, or any group, has rigged it. Nature is taking its course, and voter complacency (regardless of reason for it) helps define the course.Personally, I’m even more convinced that the game is rigged... to put it bluntly. Thoughts? — 0 thru 9
There are components of the future that are determinate, for example: the positions of the planets with respect to the sun, at this exact time tomorrow. Does this determinacy mean it exists?said that the future does not exist because it is indeterminate; — aletheist
The odds are against governments eliminating the problem, but there's a good chance governments can produce meaningful benefits - so it's wothwhile to push.What about you? Will the governments of the world be our hero in the battle against climate change? — NOS4A2
I can respect the libertarian principle that less is best for government, even though I don't embrace it. But where collective action is needed, like climate change in particular, there is no hope for this being solved by a free market or by individuals voluntarily choosing to behave nobly.Well, I’d go further and say I oppose government intervention in general. I don’t think we need it to tackle climate change. I do believe that humans can get together and cooperate to solve problems without the coercive force of the government. — NOS4A2
That judgment depends on what your priorities are.Also, not to nit-pick, but Trump didn't do shit. — Benkei
What happens to them in the likely event that he's ineffectual?And Bernie isn't going to change anything about it. But his political base might if they realise that winning or losing isn't the end of the fight. He seems to be the only candidate that has such a politically motivated base at this time. — Benkei
Trump has shifted the status quo toward xenophobia, racism, and celebrating inequality, and that will only get worse in a second term. And I seriously doubt Bernie will be able to actually do any more than any other candidate. None of the ambitious policies he pushes are likely to pass. On the plus side, he will be a voice. In my book, getting a voice is not worth the risk of a 2nd term for Trump.The US needs not only a political shift but a cultural one as well and that's not going to happen with another status quo candidate. — Benkei
On the contrary, Plantinga claims that most people DO have direct exprerience - a sense of divinity that produces beliefs about God:The statement that God exists is not the same as "My hand exists." We don't have direct experiences with God, at least not in the sense that we do with our hands, or even our mothers, fathers, siblings, friends, etc. This would be true even if some people did have direct experiences with God. Why? Because most of us don't have direct experiences with God — Sam26
By opposing any Green New Deal, does that mean you oppose any government interventiions that are aimed at reducing greenhouse gas emissions?I oppose any Green New Deal because it is uniquely authoritarian and statist. — NOS4A2