Meta explained that “the Meta symbol was designed to dynamically live in the metaverse - where you can move through it and around it. Using a number of animations, Meta demonstrates the versatility of the rebrand, along with some hidden features that you may have missed at first glance. In a recent article, Meta explained the rebrand in more detail from the colour palette to the stylised shape that doubles up as an M for meta, as well as an infinity symbol. Now Meta is moving beyond 2D screens and towards immersive 3D worlds to help build the next evolution of Social Technologies. Apps such as Messenger, Instagram and WhatsApp further enhanced the way we interact with each other. There is no denying when Facebook launched in 2004, it changed the way the world connected with other people. Although users will be able to immerse themselves into digital environments through VR headsets, hand-held devices and computers, these environments are more catered to video games. $$\lim_$.What is the state of today's metaverse? So unlike The Matrix or Ready Player One, today's technology is still a bit away from the lifelike virtual worlds. In most cases where infinity is written into an expression, e.g. This is kind of a notation shorthand though, since it is NOT correct to say that larger numbers are closer to infinity than smaller numbers. Which evaluates to whatever $f(x)$ gets closer and closer to as $x$ gets larger and larger. Informally, this expression asks what $f(x)$ gets closer and closer to as $x$ gets closer and closer to $a$. One of the more common context is limits. Mathematicians use "infinity" differently in different contexts. This is an informal description of how "infinity" is used in math. Instead, I believe we should be more precise and say something like this: "$\infty$ is not a real number, but it is an extended real number." So, in my opinion, it is a bad idea to say "infinity is a number" or "infinity is not a number." Even if you know what you mean by saying such things, your audience probably doesn't. So as you can see, the issues here can get very complicated very quickly. In my opinion, Craig's arguments are deeply flawed, as explained, for instance, by critics like Wes Morriston in his excellent paper "Craig on the actual infinite" (2002). For example, William Lane Craig, as part of his project to prove the existence of God, has argued extensively against the existence of what he calls "actual" infinites. Infinite cardinal numbers also fail to behave as nicely as finite ones, and this has led some philosophers to deny the existence of infinite collections of objects. In fact-in the context of cardinal numbers-there are infinitely many different sizes of infinity! Cantor showed using a famous diagonalization argument that some infinite cardinals are "larger" than others (so to speak). Instead of extending the real numbers, Cantor's cardinals extend the natural numbers. The same goes for the division operation $\infty\div\infty$, which is also impossible to reasonably define.Īs noted above, there are many other kinds of infinite numbers, perhaps most famously the infinite cardinal numbers introduced by Cantor. So, for instance, it's impossible to define the subtraction operation $\infty-\infty$ in any reasonable way. The numbers $\infty$ and $-\infty$, as part of the extended real number system, don't behave as nicely as the real numbers themselves. That said, some abstractions are weirder than others. Instead, the number 2 is an abstraction we use to think about those two eggs. Two eggs sitting on the counter do not form the number 2. So, for example, the number 2 is no more "real" than the number $\infty$-both are abstract concepts used in math, for measurement and other purposes. Other times we are talking about real numbers, which, again, excludes $\infty$.īy the way, the term "real numbers" is somewhat lamentable, as all numbers are abstractions, failing to exist in the physical world. In some contexts, a "number" refers to a natural number, in which case $\infty$ clearly does not qualify. The same goes for its negative counterpart $-\infty$.īut just because some people call it a number doesn't mean it is a number in every sense of the word. Mathematicians sometimes call this an extended real number. In my experience, usually people who ask about "infinity" have in mind the quantity $\infty$ used in evaluating limits. So, before you can even try to answer the question of whether infinity is a number, we need to be clear about what we mean by each term-"infinity" and also "number." It's sometimes easy to forget that the notion of a "number" is also somewhat ambiguous. Since there is so much to say on this topic, I will add my answer to the list of answers already given.Īs others have noted, there are many different kinds of "infinity" used in mathematics.
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