Don't take the title of the book too literally. It was intended to be provocative. Hoffman said that he began as a "naive realist". But after years of research into perception & conception, he has evolved to a more nuanced philosophical view of reality --- a virtual reality. He's another pragmatic scientist, who was forced by the direction of the data to "move into philosophy" : Ontology & Epistemology. So back to the question of this thread : is it a bad thing for serious scientists to dabble in "trivial" philosophy? Is philosophy the underachieving poor relation of science?Yeah. I'm reading that. Not so impressed.
There's a trend for engineers and physicist to move in to philosophy. What I've noticed is that they at first suppose that they have the answer to an age-old philosophical issue; they present this to the community, and are taken aback that it is not just accepted. Often, what happens is that they have only a superficial grasp of the issue, and so are not seeing the full breadth of the issue.
I'll have more to say when I finish Hoffman. — Banno
Hoffman sheds new light on the old ding an sich question : evolution, via conditional survival, has taught us to treat "appearances" as-if they are the real thing. If you follow his evidence and reasoning, it should make sense. But, if you judge it by common sense, it may sound like non-sense. :smile:As I see it Kant doesn't offer the thing-in-itself as an explanation of anything, other than to point out that if something appears it seems to follows that there must be something which appears. and we seem to have no reason to believe that that which appears is the exactly the same as its appearance, or even anything at all like it. — Janus
...and no reason to think that it might be other than it appears. Kant is just using language badly. — Banno
Hossenfelder is/was an empirical scientist, and she insists that "Physicists must stop doing metaphysics"*1. Ironically, the same warning could apply to this forum : Philosophers should stop pretending to do Physics. Science is the search for practical knowledge that has a pragmatic "use" in the real world (e.g. food & clothing). But philosophy, by definition, is a search for abstract "wisdom" (e.g. to mature our minds). So, the "use" (purpose) of Wisdom is Discernment or Judgment : "ability to reach intelligent conclusions".So what makes them informative? Well, when they have a use. So this view is mote sympathetic to Hossenfelder, that if a theory can't be checked against the world, can't be made use of, then it amounts to little. — Banno
Yes, but this thread applies Kant's 400 year old antinomies to 21st century Cosmology : Philosophical Science and/or Metaphysical Physics? And the jam-fingered people quantum-tunneling through the imaginary wall between pragmatic physics & idealistic metaphysics are the professional physicists that Hossenfelder shakes her mommy-finger at*1.As for Kant, there's been some developments in philosophy over the last two hundred years. You wouldn't think so looking around here, but that's part of the oddity of these fora. — Banno
Perhaps. But overestimating the proper scope of Physics might also have bad consequences. Blocking access to metaphysical ideas would turn Philosophy into Empirical Physics --- and by what authority?. Would Physical Philosophy be a desirable alternative to the current unverifiable & unregulated metaphysical speculations of Philosophers & Cosmologists?It's not merely a grammatical matter... — Janus
Underestimating grammar's capacity to mislead is the source of metaphysics, don't you think? — Banno
I suppose the "antinomies" are merely polar opposite positions that we could take in philosophical arguments. As you implied, Kant was not concerned with the antinomies per se, but with the conflict that arises from such black-vs-white opinions. That's also why Aristotle advised us to aim at the Golden Mean, instead of "either of two abstract things that are as different from each other as possible".The issue then becomes what "limit" might mean, in regard to space-time. And it's not going to be the same now as it was for Kant.
This by way of showing that there is nothing in the antinomies themselves. — Banno
Yes, the cosmic sausage-link image does neatly encapsulate the "Big Bounce" theory of cyclic universes pinched-off from previous 'verses. But such information leakage models require some exotic physics. And the accelerated expansion models seem to turn the bounce into a "Big Rip". Those one-way models assume a single line of linear time. Yet other Cosmological models envision multiple miniverses budding-off from a singular central Multiverse. However the point of the original post is that all of these math-supported speculations, while internally logical, are not scientific theories, but philosophical conjectures that attempt to deny the unique creation-event implications of the Big Bang theory..I apologize for the muddled message. It was not intended as a formal mathematical definition, but more like a poetic metaphor of mirrored universes — Gnomon
Thanks for the reply. Neat image. :cool: — jgill
That's easy for you to say. :joke:I was using quibbleable "atomic" in the original Greek sense of irreducible. — Gnomon
:up: I guess I can't steal that word "quibbleable" now. You own it. — L'éléphant
Yes, the Buddha seemed to be a practical empiricist instead of a theoretical metaphysicist, focused on the concrete here & now instead of imponderable possibilities. Even so, he postulated a few metaphysical notions, such as Nirvana & Non-Self, in order to explain why we should do what he prescribed. Perhaps his avoidance of metaphysics made his philosophy more palatable to pragmatic modern Western minds, even though his own people quickly turned his austere science of the mind into ritualistic religion of the senses. :smile:Scholar T R V Murti notes in his 1955 book, The Central Philosophy of Buddhism, that there are considerable similarities between this list and Kant's antinomies of reason, particularly the first four. (The book contains many comparisions of Buddhist philosophy and Kant, for which it is nowadays mainly criticized.) The Buddhist attitude towards such imponderables is expressed by the 'simile of the poisoned arrow', in which a wanderer is shot by a poisoned arrow, but rather than seeking to have it removed, wants to know who fired it, what it was made of, etc, and consequently dies as a result. The Buddha's teaching is to 'remove the arrow', i.e. overcome the cankers and cravings, rather than think about unanswerable questions such as these. — Wayfarer
I agree. Such speculations are metaphysical, not physical. Obviously, reasoning from experience with conditional causes to an unconditioned First Cause cannot provide empirical evidence for the actual existence of such a transcendental entity. But perhaps such reasoning beyond experience can point to a plausible explanation for existence : Ontology. Theoretical Philosophers can "boldly go" where empirical science cannot. And that's what theoretical Cosmologists have done with their conjectures of a time-before-Time. Is that a waste of time, or merely a way to put our brief time on Earth into a larger perspective?Reason doesn’t concern itself with the reality of appearances, nor imagining ideals. Reason is a logical function, by which the principles we understand in support of science, are applied to that which science doesn’t support, or hasn’t yet supported. Sometimes it works, re: chasing light beams and standing in free-falling elevators, sometimes it doesn’t, re: an unconditioned cause. — Mww
Skipping over a couple of hundred years of disenchantment, it occurs to me to ask: are people today enchanted by magic spells? Off the top of my head, and not all equally relevant to power, here are some candidates:
Conspiracy theories
Demagoguery, nationalism, the alt-right
Science (as scientism)
New Age spirituality: "I'm spiritual but not religious"
Progress/Decline/Catastrophe
Consumerism — Jamal
Yes. A driverless car, approaching a fork in the road, would normally plow straight ahead. But with natural or artificial intelligence, it could choose to take the fork that leads to its intended destination. Unless of course the destination has not been pre-selected by an intentional agent. :smile:The question of free will then only applies when we come to that fork in the road. — invicta
I was using quibbleable "atomic" in the original Greek sense of irreducible.Sorry to quibble, but quarks are sub-atomic, not atomic, and considered to be the smallest particle.
Then on the non-quibble, is Kant's work really a good example to use for your topic?
If your critique is on cosmology, why not use Ptolemy and Thales? What's so special about Kant? His transcendental idealism? This is the wrong application of Kant's work. — L'éléphant
So, was Kant saying that his own Transcendental Idealism is an illusion and an error? Or was he merely warning about how easy it is for reason to accept "appearances" as reality, and also to imagine "ideals" as more real than the testimony of the senses? Apparently, Science can play it safe by avoiding Metaphysics altogether. but Philosophy's job description is to explore the un-mapped territory beyond the known safe zone. :smile:The antinomies themselves merely demonstrate, on the one hand, reason’s proclivity to transcendental illusion, and on the other, the very same reason’s exposition of the error contained in it. — Mww
I apologize for the muddled message. It was not intended as a formal mathematical definition, but more like a poetic metaphor of mirrored universes : before & after the Singularity. In Multiverse theory the chain of universes would continue in both directions : infinite past & infinite future. The implicit point is that the beginning point of our universe would not be Singular, but Incidental.Is scientific Cosmology trespassing in the domain of Theology, when it tries to explain the implicit existence of amathematical point-of-convergence(zero point singularity)between Space-Time and Infinity-Eternity? — Gnomon
Not sure what this means in a math context. The north pole of the Riemann sphere is, in a sense, "the" point at infinity in the complex plane. So in the chordal metric one gets closer and closer to "infinity". — jgill
In the next post, I'll provide some ruminative commentary on Kant's Antinomies, as they relate to Transcendental Cosmology — Gnomon
_In the next post, I'll provide some ruminative commentary on Kant's Antinomies, as they relate to Transcendental Cosmology — Gnomon
I feel your pain. Having a cow can stretch your cant. :joke:↪Gnomon
That's you: Bart Simpson, The Great Enformer. :rofl: — 180 Proof
I do have a theory of how "computation is instantiated in the world". But first, I must take issue with "computation" as a Definition rather than an Action*1. If you can accept -- as a philosophical postulation -- the notion that Evolution is a process of Computation (a la Tegmark), then my own unorthodox thesis might make sense.how computation is instantiated in the world. . . . . Computation is what defines mathematical/abstract objects rather than it being some activity that you do with them. — Count Timothy von Icarus
I almost agree. Since our Epistemology (knowledge) is entirely based on sensory perceptions, we can never know anything that is outside-of (or above) Nature. However, since Ontology (being) is derived from rational inference, we can follow a chain of reasoning back toward it's source, even back in time : as Astrologers did to conclude that the beginning of our space-time (world-being) was an ex nihilo emergence from an unknown source.Supernatural as a concept is intelligible. But declaring something supernatural seems, to repeat myself, presumptuous and foolish. — Art48
The notion of "Logical Necessity", as a manifestation of God's omnipotence, reminded me of another aspect of Spinoza's "Deus sive Natura" that is similar to my own unorthodox god-concept --- First & Final Cause of the creative process (causal chain) that is constructing our unfinished world. Godless worldviews must assume that the Energy & Laws for evolution are inherent in Nature. And Spinoza might agree, yet he labelled that causal & directional force : "Omnipotence". Besides, we now know that Nature is not Eternal, but bounded in Space-Time. So, the only preternatural miracle to explain is the ex nihilo (step one) beginning of natural Causation.I interpret this phrase to mean that, as God is the sole real substance (or subject), then causal relations are subordinate to logical dependence. What we see as contingent is in reality strictly determined by God's omnipotence of which logical necessity is a manifestation. — Wayfarer
I apologize for tripping your Anti-Theism Firewall*1 -- AGAIN! -- with trigger-words such as "Deus". But I was just curiously exploring ideas related to the Spinoza Philosophy topic. Apparently you don't consider comparisons to Spinoza's "Deus", or responses to Stanford Encylopedia of Philosophy, as philosophical content. Do you deny that postulations-following-"therefore" qualify as legitimate philosophical reasoning : "Therefore, some kind of ultra-mundane cause (Spinoza's Deus ; my Enformer) seems to be necessary to initiate the logical causal chain of evolution (en-formation ; transformation)". Did you find any personal attacks in my post to provoke your ad hominem response? It's very difficult to avoid giving offense, when the trip-wire is so exquisitely sensitive to unstated-but-presumed viruses of mind. :joke:I wasn't responding to a post with any philosophical content, so I gave what I got, sir. — 180 Proof
What little I know of Spinoza's worldview is second-hand, not directly from the source. Nevertheless, I often note the similarity of his Deus Sive Natura god-model to my own PanEnDeistic model ; which, in my Enformationism thesis, I label with various made-up, un-official, non-committal, non-creedal names : G*D ; Enformer ; First Cause ; etc. Like him, I didn't set out to alienate Atheists or Theists, who hold antithetical views. Instead, my information-based god-model is not beholden to doctrinal "Catholic Scholasticism" or to dogmatic Logical Positivism. So, in view of our uncertain knowledge of Ontology, it is viewed as a sort of BothAnd bridge between those opposite shores. Sadly -- just as Spinoza was condemned by true-believers among both Atheists & Theists -- any moderate view can be taken as an affront by those who have extreme (absolutely certain) beliefs on the topic.That's the most charitable surmise I can make of Copelston's interpretation of Spinoza. I think one has to study Spinoza directly in order to better comprehend the nuances and depths of his conceptions which are not nearly as Anselmian (i.e. of Catholic scholasticism) as Copelston's mention of "the ontological argument" might suggest. — 180 Proof
I'm not an expert on Spinoza. but due to some similarities between his Deus sive Natura god-model and my own information-centric First Cause model, I am somewhat familiar with his ideas. In the quote linked below, Copleston seems to think that Spinoza did use the term "Deus", not in the sense of pantheism, but as a reference to a "First Cause"*1. To equate Nature with Pantheism is, as Shopenhauer noted, redundant. But a First & Final Cause*2 must be, in a philosophical sense, external & preternatural to the chain of causation that we experience in the world. It must be Eternal or Self-Existent. Yet, Spinoza lived long before modern cosmology found evidence that our natural causal sequence had an ex nihilo beginning, not just in time, but of space-time. Nevertheless, he came to the same conclusion : that a Creation Event was logically necessary to explain the Ontology of Reality.I have a question about Copleston’s descriptions of Spinoza‘s philosophy.
What is the difference between logical order and causal order? (i know causal order but maybe i don't know what is logical order). — Ali Hosein
Kastrup seems to be swimming in the same esoteric waters that my own thesis merely dabbles in.I will admit I am interested in Bernardo Kastrup's 'analytical idealism'. — Wayfarer
Yes. That's the purpose of Bayesian Probability. In some scientific and philosophical investigations, the empirical evidence is frustratingly incomplete & inconclusive. So Bayes developed a statistical technique, to update the original plausibility of a conjecture as more information becomes available. Unfortunately, the essential uncertainty remains, so in the final analysis, we tend to fall in the direction in which we are leaning. :smile:My claim, then, is that even when operating without empirical evidence, it still seems like we can apply probability to our experiences. — Thund3r
Since "God" questions are very common on this forum, it's clear that the ultimate notion of "deity" is not yet dead among philosophical thinkers, even though the savage sword of doubt is aggressively wielded against the retreating shield of faith. Consequently, I would expect TPF to be a "domain of discourse" for topics that don't conform to "different standards of empirical science". Yet, some dedicated anti-theists are still trying to drive a physical Science stake into the heart of an immortal metaphysical faith, that just won't die a natural death. It's the undying hope of Philosophers, that Mother Nature is, in some sense, rational & directional rather than random & aimless.↪gevgala
Having sidetracked the thread with the Dickinson poem, I should comment on your OP. My spontaneous response is - yes, so what? Are you preaching to believers, trying to shake their faith? You're not really putting forward a philosophical argument. Sure, the quest for knowledge of the divine, if I could put it that way, operates by different standards to empirical science and peer-reviewed journal articles. But there are domains of discourse, communities of faith, within which that quest is intelligible, and which contain those quite capable of judging whether an aspirant is progressing or not. — Wayfarer
Although your question is completely off-target, I'll answer a similar unstated question, which is pertinent to this thread. This response is mainly for the benefit of open-minded onlookers to this mudslinging street brawl, who may not presume that everything is about Physics. As I have repeated repeatedly, Enformationism is not a scientific theory, so it does not offer empirically falsifiable solutions to physical problems. It does instead present a hypothetical philosophical conjecture on ancient Meta-physical (Ontology & Epistemology) questions as noted below. :smile:A. In science, what specifiable problem does "Enformationism" solve falsifiably? — universeness
Sadly, Fallacy lists can be used by both sides in a debate. For example, often labels me as slander slinger of "Ad Hominems", when that is his own favorite arguing tactic. Another trick is to corral your opponent into a biased category that is easier to dismiss with a wave of the hand : "Strawman". I suspect that, when a dialogue descends to the point of Fallacy listing, it has long since fallen into repetitive Circular Reasoning.Philosophical fallacies — Gnomon
Interesting list.
I would add "Zeno-type pseudo-paradoxes -- Dividing the indivisible (Dichotomy of space and time)"
(One of my favorite fallacies to talk about.) — Alkis Piskas
That's because my replies are tailored to the posts I'm responding to ; reflecting biases back to you. may be a bit more absolutist (Black vs White) than Uni, but both tend more toward Left vs Right ideological debates than philosophical possibility dialogues. My communications with other, less antagonistic, posters are much less combative. I continue to respond to your Either/Or categorizations, mainly because they are very narrowly targeted, and help me to find possible weaknesses in my own worldview. If you are offended, it's from looking in a mirror.Our exchange regarding your enformationism and your enformer has again reached a panto style exchange of 'oh yes it is,' and 'oh no it's not,' impasse.
I don't respect paganistic viewpoints that anthropomorphise nature as a single entity with intent.
To compare your debate with me and 180 Proof with references to Nazism and the actions of Putin in Ukraine, leave me thinking that you may be a little bit mad, and inebriated with your own vernacular. — universeness
"Who's zooming who?" __Aretha FranklinThe only thing "spooky woo woo" about Einstein is your (willful?) misunderstanding of him and his work to suit your "Enformer"-of-the-gaps tilt at windwills. :sparkle: — 180 Proof
No. It was you & 180 who painted Enformationism as "Theistic". Gnomon denied that denigrating mis-characterization, but accepted the philosophical label of rational "Deism"*1. Which you quickly re-defined as "Theistic", even though reason-based Deism was intended to be a naturalistic (nature as organism instead of mechanism) alternative to Theism. It was also an attempt to avoid the excesses of Imperial religions that resulted from authoritarian political power.To me, you painted your metaphysical floor in theistic shades — universeness
No. In Wilfred Sellars words : "stop attacking your own Manifest Image, then claiming to vanquish Gnomon's metaphors". :joke:↪universeness
↪Gnomon
In other words: "Stop picking on my Enformer-of-the gaps!" :lol: — 180 Proof
It's amusing to picture you and celebrating & high-fiving & thumbs-uping your victorious vanquishing of a mythical dragon. Unfortunately, that supernatural serpent exists only in your imagination. Yet, it emerged into your fanciful personal reality (worldview) due to your misinterpretation of my use of the “G*D” label to describe the hypothetical ultimate source of natural Reality*1. As a moderate skeptic myself, I understand & appreciate your stance against religious “Supernaturalism”. But, other than "preternatural", I didn't have a official dictionary word to describe the nature of a Hypothetical entity. So, I made-up a neologism, based on its role in traditional cultures.You are welcome! It's bizarre to me that Gnomon actually thinks we are doing him a favour, by encouraging him to explain more about his motivations and personal reasons for inventing and blogging about his personal theocratic musings that he labels enformationism and the gap god he has titled 'the enformer.' — universeness
Unfortunately, when I refer to the feedback loops in Mind & Nature, in terms of "Holism", I get negative feedback -- as-if the notion is anti-scientific. Even when I switch to "Systems Theory" the scent of New Age Consciousness theories remains. Bateson's ideas and terminology were quickly adopted by New Agers, so he is also sometimes tarred with the feather of pseudo-science. Yet Consciousness has always lingered just beyond the reach of Reductive Science. So, I'm willing to give Holistic (Systems) Science a shot at understanding the "difference that makes a difference", along with the connections that make a conception. Bateson referred to his Holistic worldview as an "Ecology of Mind". :smile:Thanks for your thoughts on information and it does lead me to think of systems theory. I can remember how when I was studying biology, it made so much sense of everything by seeing the integral links. This did involve the connections between the mind and body, such as how the vague nerve, in response to stress leads to an increase in blood pressure, as well as the whole process of homeostasis in the body. The whole processes of minds or minds also make sense in the cybernetic theory of Gregory Bateson. — Jack Cummins
Yes. Some theories of Consciousness as a form of Information (e.g. Integrated Information Theory) attempt to construct Self-Awareness by adding-up bits of encompassing environmental information until the aggregate seems to automatically point inward toward the Observer. This is a Holistic concept, but reductive analysis will miss the essential element that binds isolated parts into functioning wholes : a complete circuit. Metaphorically, the light goes-on when the circuit is complete.I had never thought of it as information until I read a couple of threads on this site on consciousness and information. To some extent, that perspective works, but what seems to be missing is both sentience and narrative identity in the construction of an autobiographical sense of self identity. — Jack Cummins
Since you have me pegged as an anti-science god-fearing religious nut, I feel obligated to tell you what I'm giving-up for Lent : Epistemic Gaslighters. :joke:Thanks for allowing me to continue my exploration of the Enformationism conjecture. — Gnomon
You are welcome to your speculations. — universeness
Perhaps I should have added (material) after "physical" in the quote. For most of us, "physical" implies "matter-based", and "mathematical" implies logical relationships*1. However, in my personal worldview both Matter & Math are forms of generic Information*2. Our senses detect Weight, but our minds interpret Mass, and imagine Matter/Object (Kant). I refer to Mathematics as "metaphysical" in the Platonic sense, that many mathematicians accept, but physicists tend to reject. So yes, physical Objects and metaphysical Fields are "entangled", in the sense that both can be reduced (mentally) down to patterns of relationships (ratios ; information ; meaning). :smile:a quantum Field is not a physical Object, but a metaphysical (mathematical) Concept. — Gnomon
Well, hang on. If it is the direct 'cause' of there being physical objects, then isn't it in some strong sense 'entangled' with and by the concept of 'physical-objectness'? Perhaps physical objects themselves do not perfectly exemplify 'physical-obectness' either? — Pantagruel
Tu quoque. :joke:Your attempts to insult 180 Proof by your patronising claim, that you find me more palatable, is almost school yard debate tactics. I find such, pretty low brow. — universeness
EnFormAction is envisioned somewhat like a computer program processing Information (matter & energy) in order to produce the phenomena that we interpret as Reality. Regarding the perceptive GUI analogy, I'll simply refer you to Donald Hoffman's counterintuitive notion of our mental interpretation of sensory inputs as, not Reality per se, but an "interface" for the underlying ding an sich. :nerd:So, attempting an analogy here, is it that enformaction is like computer code, and information is like the GUI we see on the computer screen? — ucarr
As Kant argued, our physical senses detect abstract information (similar to dots & dashes of Morse code) which our minds interpret into the imaginary models that we accept intuitively as Reality. Deacon updated that physical/metaphysical distinction with a modern computer interface analogy. But the notion that our Ideal mental models are the only Reality we have access to, is anathema to Materialists & Realists. For them, any reference to "Metaphysics" betrays a religious commitment. And I suspect that various worldwide religious notions of a hidden or parallel reality (or spirit realm) may derive from a vague pre-scientific grasp of the fact that : what you see Physically ain't necessarily what-is Ontologically. If, by "semi-metaphysicality" you mean a blend of physical & metaphysical worldviews, I suppose that describes the Hylomorphism of Aristotle. :brow:So, from what I conjecture from your two above quotes, physicality extends all the way into the metaphysical ground of existence; this one can claim since both information and enformaction interface the physical_cognitive? Does this possibility suggest semi-metaphysicality instead of metaphysicality? — ucarr
I don't remember saying that the worldview is "fundamentally inferential" in so many words, but I suppose that's true. But then, what is "reasoning" if not the practice of Inference? Maybe what you meant was "imaginary". If so, no. Although imagination is necessary to see anybody's mental model of the world. :nerd:Well, you say your worldview is fundamentally inferential so... your conclusions are not reached on the basis of evidence and reasoning? — ucarr
Yes, but I didn't realize the full meaning of that expression until years later, when I read an article on Quantum Physics in which the author exclaimed in reference to wave/particles, "it's all information, nothing but information" I suspect that Wheeler's postulate was ignored by pragmatic physicists, who gave-up trying to understand the meaning of quantum weirdness, and decided to just "shut-up and calculate". Similar unorthodox expressions by quantum pioneers (e.g. Bohr & Heisenberg), were ridiculed as Eastern religious beliefs. But what all those weird notions have in common is Holism, which was originally a scientific concept that was later adopted by New Agers. :cool:Is it correct to say the essence of your enformaction theorem is Wheeler's It-From-Bit idea? — ucarr
No, a dimensionless Singularity is a mathematical (cognitive) definition, not a physical object. If the Singularity was a physical container, it would have compressed all the matter in the universe into a dimensionless dot. An infinity-to-one compression ratio.Is it correct to say your Singularity has components both physical and cognitive? — ucarr
For Einstein, the curvature of non-physical space was a mathematical (geometrical) concept, not intended to be taken literally. Yet, it's now a stock gimmick of sci-fi stories. Likewise, the "fabric" of spacetime is a metaphorical analogy, not an invisible kind of cloth. Can you stick yourself on the point of a geometric triangle? :joke:Spacetime within the context of Relativity is most assuredly physical. General relativity, being the geometric theory of gravitation -- including warpage of spacetime -- makes the case for this.
How can you justify your above claim in light of this? — ucarr
No, according to Einstein, the universe, like a spherical surface (no innards), is unbounded. By contrast, a cube is bounded by edges. :wink:I'm thinking the above statements contain a thicket of issues: a sphere, by definition, has boundaries (every point on its surface is equidistant from its center). More generally, a shape, by definition, has boundaries. Finally, if a physical object doesn't extend indefinitely, it has a shape. Do you think otherwise? — ucarr