We determine the meaning of a word by referring to how it is used in our society. This mean that the colloquial conception is the correct one. If mathematics is using a conception of "infinite" which is inconsistent with the colloquial conception, then this is an indication that they have not properly represented "infinite"? — Metaphysician Undercover
Zeno's paradoxes were adequately resolved by Aristotle's distinction between actual and potential. — Metaphysician Undercover
The principles of modern mathematics do not resolve Zeno's paradoxes because the philosophers of mathematics have simply produced an illusory conception of "infinite", which is inconsistent with what we are referring to in colloquial use of the term. That's sophistry, and Platonic dialectics was developed as a means to root out and expose such sophistry. The sophists would define a word like "virtue" in a way which suited their purposes, and then profess to be teachers of this. — Metaphysician Undercover
This is not true. What I am arguing is that if we change the defining features of a thing, then we are not talking about the same thing any more. Therefore we ought to give it a different name so as to avoid confusion. This is not a case of correcting a misconception, it is a case of introducing a new conception. We cannot say that one is a correction of a misconception, because they are distinct conceptions, having distinct defining features. The new conception ought to be named by a word which will not cause confusion with the old conception, or any sort of equivocation. For example, if the defining feature of parallel lines is that they will never meet, and someone says that they've come up with a new geometry in which parallel lines meet, then we ought not call these lines parallel, but use a term other than "parallel" in order to avoid confusion and the appearance of contradiction. They are distinct conceptions, not a correction of a misconception. Likewise, the new conception in mathematics, which is called "infinite" ought to bear another name like "transfinite" so as not to confuse the conception with what we commonly call "infinite". — Metaphysician Undercover
That's ridiculous. I am saying no such thing, and I resent that because I have great respect for mathematicians, they are as far from "idiot" as you can get — Metaphysician Undercover
The principles of modern mathematics do not resolve Zeno's paradoxes because the philosophers of mathematics have simply produced an illusory conception of "infinite", which is inconsistent with what we are referring to in colloquial use of the term. That's sophistry, and Platonic dialectics was developed as a means to root out and expose such sophistry. — Metaphysician Undercover
I am not talking about potential vs. actual. I am talking about "infinity" as boundless (philosophical conception), and "infinity" as completed (mathematical conception). The two are incompatible — Metaphysician Undercover
Choosing one conception and rejecting the other does not resolve the incompatibility. Nor does it resolve the paradoxes involved with the one conception, by choosing the other conception. That's simply an act of ignorance. — Metaphysician Undercover
On the other hand, I reject the mathematical conception because I believe it was created solely for the purpose of giving the illusion that the issues involved with the philosophical concept of "infinite", as boundless and incomplete, could be resolved in this way, by replacing the conception. Despite your claims about how calculus and science rely on this conception of "infinite", I believe it serves no purpose other than to create the illusion that the problems involved with the philosophical concept of "infinity" have been resolved. In reality, mathematics could get along fine without this conception of "infinity". It would just be different, having different axioms. And, since this conception of infinity is just a distraction for mathematics, mathematics would probably be better without it. — Metaphysician Undercover
The fact that philosophy has a different definition of infinite which is inconsistent with your mathematical definition of "completed infinity" is clear evidence that philosophy does not make recourse to mathematics for its understanding of reality. — Metaphysician Undercover
All this demonstrates is that you are very selective in the philosophy which you read. Cantor's representation of "infinite" was confronted by Russell, and hence replaced by Zermelo-Fraenkel. But any thorough reading on the subject will reveal that the issue is far from settled. — Metaphysician Undercover
Finally, by the mid-20th century, it had become clear that, despite the existence of competing set theories, Zermelo-Fraenkel’s set theory (ZF) was the best way or the least radical way to revise set theory in order to avoid all the known paradoxes and problems while at the same time preserving enough of our intuitive ideas about sets that it deserved to be called a set theory, and at this time most mathematicians would have agreed that the continuum had been given a proper basis in ZF.
[...]
Because of this success, and because it was clear enough that the concept of infinity used in ZF does not lead to contradictions, and because it seemed so evident how to use the concept in other areas of mathematics and science where the term “infinity” was being used, the definition of the concept of "infinite set" within ZF was claimed by many philosophers to be the paradigm example of how to provide a precise and fruitful definition of a philosophically significant concept. Much less attention was then paid to critics who had complained that we can never use the word “infinity” coherently because infinity is ineffable or inherently paradoxical.
Notice specifically, "..there is always the worry that the replacement is a change of subject that has not really solved the problems it was designed for". This is my argument. By redefining "infinite" mathematics is not even dealing with what we generally refer to as "infinite'. It has created a completely new concept of "infinite". It has put aside the true concept of "infinite" which derives its meaning from continuity, in favour of an illusory one, a completed one, in order to create the illusion that it has resolved the problems of infinity. I — Metaphysician Undercover
It's as I said, I have no arguments against the conclusions drawn by mathematicians from their concept of "infinite", what you call the "results". I do not even know these conclusions, or results, and I have no interest in them. I am arguing against their premise, their concept of "infinite". This is not contradictory, just a simple statement of fact, I am not arguing against the results (conclusions), I am arguing against the premise (their concept of "infinite"). And, I have no interest in these results. — Metaphysician Undercover
Indeed, Peirce independently invented quantification; and he disagreed with Cantor and Dedekind about the real numbers comprising a continuum, because he viewed numbers of any kind as intrinsically discrete. He was primarily driven by a philosophical interest in true continuity, rather than a mathematical interest in infinity.
— aletheist
Right, tell that to MindForged, who seems to think that mathematicians have resolved the philosophical problem of "infinity". In reality, mathematicians have redefined "infinity" to suit their own purposes, neglecting the real problem of infinity, which is associated with continuity. And this might lead some naïve philosophers to think that mathematicians have resolved the problem of infinity. All they've really done is created a new problem, a divided concept of "infinity". — Metaphysician Undercover
In English we know that pairing infinite numbers is impossible, just like we know that counting infinite numbers is impossible. The way that we use and define "infinite" and the way that we use and define "pairing", ensures that this is impossible. if mathematicians want to define these two terms in a different way, so that it is possible to pair an infinite number, that's their prerogative. I am not here to police mathematicians. However, we ought to be clear that this "mathematical" language is inconsistent with common English, and also inconsistent with how "infinite" is represented in philosophy. — Metaphysician Undercover
You may have noticed that I have no arguments against the mathematical results relating to infinity, although others like Devans99 do. I really don't care about the mathematical results relating to infinity, because what "infinity" means to a mathematician is something completely different from what "infinity" means to me, a philosopher. And, I think it's quite obvious that the mathematicians have it wrong, (they've created an illusory "infinity"), so I'm really not interested in the conclusions which they might derive from their false premises. — Metaphysician Undercover
Quantum computers, and classical computers possess the same repertoire of functions. Quantum computers merely render certain algorithms tractable, somehow. Also, the brain can't operate by maintaining quantum coherence. It is too warm and wet. — Inis
Neural nets are typically implemented on an ordinary computer. — Inis
Claiming that the brain is capable of super-Turing operations is tantamount to attributing a soul to it. If the matter is not special, and other matter is capable of following the same rules, then a machine may exhibit identical properties to the brain. That sort of machine is a computer. — Inis
If you have a problem with my terms (they are English), then address my posts and tell me where the problems are. If my terms are not related to mathematics, then don't worry about them, they pose no threat to this field which you hold sacred. — Metaphysician Undercover
We know all Turing machines are equivalent, and what they are made from has no effect on this equivalence. For a brain to be capable of fundamentally different type of operations to a computer, then, peculiarly, the specific stuff it is made from matters and this stuff is capable of performing non-computable functions. — Inis
What do you think is the physical difference between a brain and a computer, that permits intelligence? — Inis
As explained in my last several posts, pairing infinite numbers is contradictory due to the definitions of "pairing" and "infinite". — Metaphysician Undercover
I hold my point is both valid and important. Both theists and atheists make all kinds of propositions about the nature of god in their arguments. Yet I know of no rationale argument that supports we have the ability to make any such claim — Rank Amateur
The Christian is free to believe in the trinity as long as it is acknowledged that this is a belief based on faith, not fact or reason. — Rank Amateur
As I have argued on other threads, I know of no reason based argument that says we as humans have any basis at all to say anything about the nature of such a thing as God — Rank Amateur
I didnt identify what facism is, I just referenced it. You dont have enough information to say whether or not im using the term properly, since I didnt specify what exactly makes them facist. — DingoJones
There is a systematic effort to not only push the agenda but to remove peoples ability to resist it. I dont want to overstate the case, like I said I do believe it to be a minority, but I dont think its overstating to call it facsim with all that entails. Its about social control and it comes from people in positions of power over young minds. — DingoJones
You also implied that I said or at least think that thinking everything is subservient to identity is facist, which I didnt/dont. — DingoJones
There are entire political philosophies whose founders spend hundreds of pages arguing for their own brand of justice. These different kinds of "justices" entail different kinds of political behaviors; just look at Rawls and compare him to Lenin or Che or Hayek or Nozick!
This is why people should first argue over the correct definition of justice before anything else. — Walter Pound
If I said, "only leftists do x" then you would have a point. Thank goodness I never said that only leftists beg the question. — Walter Pound
When did I say that I was against affirmative action or socialism? If you read carefully, you will see that I point out that social justice is not a politically neutral term and that is why I mentioned affirmative action and socialism- since both can be covered under someone's understanding of social justice. — Walter Pound
Can you quote where I ever define justice as opposing socialism, affirmative action or anything else? — Walter Pound
It really is embarrassing that you have to make up quotes of things I never said, but if you reread what I wrote, then you will see that I actually think that the definition of the word "justice" must first be argued for before anyone condemns their political opponent for not supporting "justice." — Walter Pound
When did I ever say that only the left begs the question with definitions and loaded terminology? — Walter Pound
I see, so I state a fact- leftists support a politically loaded definition of justice- and you think that that is an example of complaining?
Oh boy, you got me good. — Walter Pound
Actually, I believe that people must first defend their definitions before they start arguing over whether their political opponents demonstrate X or Y behavior. — Walter Pound
If you tell people that simply because they are white that they have "white privilege" and that the only solution to ending white privilege is for the federal government to engage in affirmative action or for socialism to replace capitalism, then I would be annoyed too. The social justice crowd is an obnoxious bunch and since most of them are leftists it is clear that they are politically motivated. — Walter Pound
Actually, its called being logical. — Walter Pound
The social justice crowd is an obnoxious bunch and since most of them are leftists it is clear that they are politically motivated. — Walter Pound
Ugh, another fragile snowflake complaining about complaining — StreetlightX
As one example, about this time last year all kinds of men were being done in for sexually harassing women. All PC. — ernestm
Incidentally, recognizing this is the key to dissolving Zeno's famous paradoxes. — aletheist
Andrew never made the claim that Prof. Plomin was in favor of Prof. Murray's policy recommendations. — Walter Pound
DNA is the major systemic force, the blueprint, that makes us who we are. The implications for our lives – for parenting, education and society – are enormous."
"On the science, Plomin has previously expressed his support for Richard Herrnstein and Charles Murray’s racial premises in their notorious 1994 book The Bell Curve "
Prof. Plomin doesn't disagree with you there either. — Walter Pound
So, although I will talk about genes repeatedly in this book, it is only because there is no other convenient way to communicate about contemporary ideas in molecular biology. And when I refer to gene, I will be talking about a segment or segments of DNA containing sequence information that is used to help construct a protein (or some other product that performs a biological function). But it is worth remembering that contemporary biologists do not mean any one thing when they talk about “genes”; the gene remains a fundamentally hypothetical concept to this day. The common belief that there are things inside of us that constitute a set of instructions for building bodies and minds—things that are analogous to “blueprints” or “recipes”—is undoubedtly false. Instead, DNA segments often contain information that is ambiguous, and that must be edited or arranged in context-dependent ways before it can be used.
You're kind of almost agreeing with the "experts at everything" idea by being shocked a scientist might say something stupid. — Jake
Governments which pay the bills of news sources may have a degree of influence over them, you see. Just as governments may have a degree of influence over Facebook or Google for other reasons. I tend to be suspicious of any government influence. — Ciceronianus the White
I understand you don't want to focus on legality. For my part, I don't see the point of merely expressing outrage. Addressing legal remedies and advocating them may be useful, though less satisfying. — Ciceronianus the White
I'm afraid I have no knowledge of the law of Israel, or for that matter that of Venezuela, which apparently is the primary source of funds for TeleSur, speaking of government involvement in sources of information and communication — Ciceronianus the White
There's a tendency to refer to freedom of speech or the right to it as iqere is such a right, apart from the law. There isn't; not an enforceable right, in any case. The distinction between a legal right and a non-legal "right" is significant. One shouldn't be treated as the equivalent of the other. When they are, things get confusing — Ciceronianus the White
Should Facebook, Google etc. restrict access to information? I would say no. What is the remedy if they do? Is there an enforceable right to information? Nope. Should there be? That would require a law. That would require a government. Should government be in control of the availability of information? Will that ensure that democracy (which doesn't exist, really) will obtain? That depends on the government, the nature and extent of the control, and its purpose. — Ciceronianus the White
There's nothing weird about it. Private entities may certainly act to restrict speech. You may too. If you do, though, you do nothing illegal here in God's favorite country. The legal right to freedom of speech can only be infringed by the government or its agents. So it may not be good when private persons or entities restrict speech, but it isn't necessarily illegal. That's all being said by reference to private actors, as far as I know. There's the law and not the law. — Ciceronianus the White
Due to this, far-right Israeli justice minister Ayelet Shaked reportedly boasted: "A year ago, Facebook removed 50 percent of content that we requested. Today, Facebook is removing 95 percent of the content we ask them to." Facebook becoming a willing accomplice for governments seemed to coincide after two events: Russiagate and after Facebook announced in May that they would be partnering with the pro-Nato, far-right neoliberal Washington DC-based think tank the Atlantic Council.
But none of that dilutes how disturbing and dangerous Facebook’s rationale for its deletion of his accounts is. A Facebook spokesperson told the New York Times that the company deleted these accounts not because Kadyrov is a mass murderer and tyrant, but that “Mr. Kadyrov’s accounts were deactivated because he had just been added to a United States sanctions list and that the company was legally obligated to act.”
You refer to governments doing so in some fashion you leave undefined (the reference to Israel being involved is somewhat ominous). If the federal, state or local governments of the U.S. are involved, then the right to free speech is being restricted.
It is a dichotomy that still exists in discussion and literature. — Andrew4Handel
Since the 16th century, when the terms “nature” and “nurture” first came into use, many people have spent ample time debating which is more important, but these discussions have more often led to ideological cul-de-sacs rather than pinnacles of insight.
[...]
As psychologist David S. Moore explains in his newest book, The Developing Genome, this burgeoning field reveals that what counts is not what genes you have so much as what your genes are doing. And what your genes are doing is influenced by the ever-changing environment they’re in. Factors like stress, nutrition, and exposure to toxins all play a role in how genes are expressed—essentially which genes are turned on or off. Unlike the static conception of nature or nurture, epigenetic research demonstrates how genes and environments continuously interact to produce characteristics throughout a lifetime.