New Math
As an Asst Prof in the early 1970s, I had a colleague whose office was a couple of doors down the hall. He was a retired Army colonel with an MA in math, and he taught some of the remedial and freshman courses. One day, early in the semester, he burst into the department chair's office, red in the face and clearly angry,"What is this shit!? Why prove a*0=0???" We were using Vance for College Algebra and there it was in chapter one. I was less vocal, but I too found it ridiculous to toss bits of math foundations into a more or less utilitarian course.
Proof: a*0=0
Note in the Wiki piece that Time magazine called New Math one of the 100 worst ideas of the twentieth century. :cool: — jgill
Imagine that! Perhaps human history can be retold in terms of how many and how big our failures were/are rather than as it's usually told to us, a sequence of successes. I wish I had the time and resources to do that; no worries, some are already on the job (re History's Biggest Mistakes, a book by....). — Agent Smith
I'm not sure I've known a colleague becoming that euphoric, but it is a really good feeling when understanding dawns. It's mostly a game of exploring concepts. But I only taught at the college level and know little of techniques used in K-12. However, the modern math movement supported by university mathematicians during the 1960s and 1970s was a failure - I ventured into it when I taught a freshman algebra course. For a few very motivated students it worked well.
As to motivation, part if not most may have to come with genetics, like musical talent. — jgill
Thank you for agreeing with me ,(it's rare to see that on a forum like this one!). Yes, the fundamental issue with unmitigated consumerism is that it is a road to nowhere. Instead of enjoying the good, it always tries to needlessly dig holes when the ground was already filled up. We should have a balanced approach.
Sharing knowledge is undoubtedly a great way to obtain happiness! — DA671
↪Athena Money is a key, but not the central, cause of happiness. I agree with much of what you have written. I think that a major issue in our modern society is that people intentionally create unnecessary desires in order to acquire superficial pleasures instead of focusing on the subtle yet more potent good of contentment. I hope that our perspectives will change. Music, family, beauty, and the pursuit of knowledge can be sources of indelible fulfilment. May people get the happiness they deserve! I hope that you have an amazing day! — DA671
My dear lady, that was done long ago. Regardless of categories. :cool: — jgill
That's an amazing article on Indian mathematics on Wikipedia. Ramanujan, of course, was one of the great geniuses in math. When I was a math prof I would be asked occasionally to teach the survey course in mathematics history - a task none of us relished since no one had the necessary background. It would have been an enormous help had Wikipedia been available!
How do you guess mathematics might have evolved had it not been for the Romans and Christianity? Or, is it the teaching of math to school age kids that you think should be different? My wife is a retired HS English teacher and she made the same remark about coming up with the right answer without going through all the steps when she was a student. :smile: — jgill
Metaphysics - Wikipediahttps://en.wikipedia.org › wiki › Metaphysics
Metaphysics is the branch of philosophy that studies the fundamental nature of reality, the first principles of being, identity and change, space and time, ...
Aristotle · Feminist metaphysics · Category:Metaphysics literature · Substance theory — wikipedia
It seems to me that years of experience are neither necessary nor even sufficient for wisdom. They can definitely help foster it, but years of experience are useless without the use of reason to extract knowledge from them. Of course children have neither fully developed reason nor years of experience, but I’d say that, on average, they have some wisdom. — Hello Human
Aging may also bring positive cognitive changes. For example, many studies have shown that older adults have more extensive vocabularies and greater knowledge of the depth of meaning of words than younger adults. Older adults may also have learned from a lifetime of accumulated knowledge and experiences.6 days ago
How the Aging Brain Affects Thinkinghttps://www.nia.nih.gov › health › how-aging-brain-affect... — National Institute on Aging
As someone who is sympathetic to vedanta, it would have been difficult for me to have not heard of him! I really enjoyed reading Ethics.
Doing the right thing for the right reasons is certainly quite important. It is the only way one can ensure the long-term triumph of the good
I am sorry, but did you mean to say that poverty does not have to mean ignorance and suffering? Your reply seems to suggest so. If that is the case, I would definitely agree with you. Coming from a relatively poor country, I have been amazed by the degree of satisfaction many of the financially less fortunate people seem to experience. Additionally, they seem to have a wisdom about how to live a good life that many well-off individuals appear to lack. The pursuit of knowledge is undoubtedly a source of great satisfaction. I am glad to know that you have had a nice day. May you have plenty more ahead! — DA671
There are about 24,000 math topics on Wikipedia, many if not most by "Western minds". That doesn't sound like the Western mind is terribly limited. — jgill
I suppose there are psychoanalytic threads woven into the relationships between the gods of ancient Egypt, but, yes, nonsense. On the other hand, some of the spiritual practices originating in the East, like Zen Buddhism, are relevant today. I once wrote a chapter of a book on a certain aspect of a sport being a "mystical art form." :cool: — jgill
How did Romans calculate without zero?
The Romans never used their numerals for arithmetic, thus avoiding the need to keep a column empty with a zero symbol. Addition and subtraction were done instead on an abacus or counting frame. https://mathshistory.st-andrews.ac.uk/Education/rome/
Baruch (de) Spinoza[13] (24 November 1632 – 21 February 1677)[17][18][19][20] was a Dutch philosopher of Portuguese Sephardic Jewish origin.[12][18][21] One of the foremost exponents of 17th-century Rationalism and one of the early and seminal thinkers of the Enlightenment[17][22] and modern biblical criticism[23] including modern conceptions of the self and the universe,[24] he came to be considered "one of the most important philosophers—and certainly the most radical—of the early modern period.
— wikipedia
Imagine a loved one has been abducted by aliens. The aliens set about reorganizing their brain. They do not add new materials to it, so your loved one's body continues to have the same constitution, it's just that some structures have been rearranged. These rearrangements were done in such a way that your loved one now has an entirely different set of memories, entirely different preferences, and an entirely different personality. However, they still look the same, and the molecules making up their body haven't changed any more over the week they've been gone than they would have had they been living on Earth. — Count Timothy von Icarus
Today a young paraplegic requiring medical help has been thrown out of the hospital with a sleeping bag and he will be sleeping on the streets somewhere. Good luck sucker. This is America the wealthiest country in the world and we are great. The marginalized people do not count.
— Athena
Sad but true. "Sorry about your luck." — Pie
This is a good description of us fitting ourselves to our own machines, become their obedient robots. It's easy to imagine AI playing larger and larger role. It's my understanding that banks already loan or not according to algorithmic decisions, and someone might joke about the replacement of juries (trained on transcripts of previous trials and associated verdicts.) — Pie
It seems we agree on the important of the humanities. A good citizen needs critical thinking and historical awareness. A mere cog in the machine, however, needs only a set of a skills. I've been reading Howard Zinn's history lately, and the presence or absence of class consciousness looks central to me. Am I to be merely a monkey pulling levers as directed ? Or an enlightened, autonomous being working with others to build a just and happy society? Certain politicians and oligarchs would rather me be the former, surely. — Pie
jgill
2.2k
What is not worth the effort?
— Athena
Competing with the wisdom of the ancients, such as:
Ennead The nine worlds of the Odine Mysteries. The Egyptian Ennead, or company of nine gods and the goddesses, represents archetypal principles that regulate and rule the cosmos through the laws of number. The pharaoh came forth from between the thighs of the divine Nine.
— Athena — jgill
The Archetypal Synergies
1. Associations and Manifestations
The energies represented by the various neteru (gods/ goddesses) rarely function individually, but are often allied or fused with other neteru (gods/goddesses). The union of certain pairs of complementary energies/attributes (masculine and feminine forms) results in a third energy/attribute. Trinities are sometimes portrayed together as a single composite entity; sometimes separately and sometimes in binary form.
In human terms, a family consists of a man, a woman, and a child. The three are one unit—a family. There are also binary relationships such as: husband–wife (marriage), father–child (fatherhood), and mother–child (motherhood).
Egyptian deities are connected in a complex and shifting array of relationships. A neter’s connections and interactions with other deities helps define its character. Such relationships were the base material from which Egyptian allegories were formed.
A distinction must be made between associations of deities and manifestations of a neter principle into other neteru’s principles/forms. For example, it is wrong to assume that Re-Sebek is an association of two deities. When we realize what Re REPRESENTS, then we can figure out that Re-Sebek is the manifestation of the creation force [being Re] into the Sebek form/aspect. As mentioned earlier, the Litany of Re shows his manifestation into 75 forms/aspects.
Synergetic combinations were not permanent. A neter/netert who was involved in one combination continued to appear separately and formed new combinations with other deities.
The combined synergies are basically found in dual, triple, octad and ennead combinations, to be detailed as follows: — ?
Why not?
The key points we need to address.
1. Nonexistent people (no rights, consent Mu)
2. Possible people (rights? can't consent)
3. Actual people (have rights, can consent) — Agent Smith
Hi ! Excellent point. The main reason for most people to learn math is probably its central role in science. I don't just mean physics. I mean any science that infers from data. Math helps us decide rationally whether a drug is safe and effective, or (as you mention) whether a policy is safe and effective. It plays a central role in rationality.
How does a society motivate its members to cultivate their rationality? As others have noted, this is an expression of caring for others and not just for oneself. Granted that none of us are angels, how can we create a virtuous circle ? — Pie
Not worth the effort — jgill
What You Need to Know About Becoming a Public Policy Majorhttps://www.usnews.com › Education › Best Colleges
Oct 21, 2020 — Public policy requires an understanding of both of those disciplines as well as an understanding of mathematics and data collection to make ... — Josh Rhoten
Mathematical psychology is that branch of psychology focusing on the use of mathematical and computational models to explain and predict human behavior. Typical areas of interest are memory, attention, problem solving, perception, decision making, and motor control.Jul 29, 2020
Mathematical Psychology - Oxford Bibliographies — Parker Smith, Yanjun Liu, James T. Townsend, Trish van Zandt
But, you should ask one of the mathematicians here, like jgill or others, who could help you out much more than I ever could. — Manuel
One interesting question that arises as a follow-up to yours is, what is math? What does it study? — Manuel
An educated guess, math is the study of patterns but wait, that's not all, math also has to explain patterns + numericize/geometrize them when doing so. — Agent Smith
An educated guess, math is the study of patterns but wait, that's not all, math also has to explain patterns + numericize/geometrize them when doing so. — Agent Smith
I mean, Pi and mathematical formulas belong to mathematics. Applied math, the kind the gives us theories, usually belong to physics. — Manuel
Mathematics once had a direct and unambiguous relationship with philosophy, Pythagoras, Euclid, Plato (Let No One Ignorant of Geometry Enter Here). Back then, there was not much of a distinction between philosophy and anything else that could be studied rationally.
Today, the relationship is much more strained. Perhaps there are things of interest in the philosophy of math. But, outside of extremely broad and general questions, which are of little interest to most mathematicians I'd imagine, I think this topic won't lead to much. — Manuel
The constant π helps us understand our universe with greater clarity. The definition of π inspired a new notion of the measurement of angles, a new unit of measurement. This important angle measure is known as “radian measure” and gave rise to many important insights in our physical world.
Pi: The Most Important Number in the Universe? — Edward B. Burger, Ph.D, Southwestern University
In his Socratic dialogues, (or at the very least those that I know enough about to say this), Plato presents an interesting proposition about virtue: Virtue is just another name for wisdom. So if you are wise, you are virtuous, and vice versa.
An objection to this is that even though some virtues may be reducible to wisdom, there is at least one virtue that is completely independent from wisdom, the most prominent example one could advance being courage. How can one reduce the sheer willpower behind the virtue of courage to a simple matter of knowing and not knowing, you may ask ?
To defend Plato's view from the example of courage, one might say that willpower is not in our control. And if it's not in our control, then there is no such thing as a virtue involving having willpower. So the virtue of courage is not really about willpower, perhaps it is more about being wise enough to exploit whatever willpower we have to achieve one's goals.
But what do you think ? Is virtue really just equal to wisdom, or is there a plurality of virtues, each independent from the other(s) ? Or are all the virtues reducible to something that is not equal to wisdom ? — Hello Human
Do you realize that anyone who objects to teleology in evolution hasta prove their point by making a Kantian phenomenon (appearance - purpose) vs. noumenon (real - no purpose) distinction. — Agent Smith
javi2541997
This is when literally corruption started to flourish — javi2541997
Im not sure they do share common purpose. Creationism is an ad hoc justification for biblical writings, an effort to explain contradictions with what science has discovered. Its purpose is in direct opposition to the purpose of science, and its method. — DingoJones
TiredThinker
443
What general category would evolution and creationism both fall into?
And has anyone proposed anything that is neither? Creationism can't really be proven, and evolution basically relies only on the first 25 years of life when we can have the most viable offspring even if our characters in our opinion are still shit. Lol. Perhaps a theory based on perfect or ideal biological structures that are clearly more efficient and accurate than others? Maybe we start with evolution because that is the bare minimum to exist in any form, but there must be other driving forces other than surviving long enough to mate? — TiredThinker
At least, the pre-Socratic doctrine was related to nature and the search for a connection towards it: fire, water, air, earth, wind, etc...
But since Hebrew Bible or so called old testament, it looks like all depends on a supranatural figure who decides as a judge in a court what is "good" and what is "worng".
In my humble opinion, I guess it is a backwards way of witnessing our lives but I respect there are a lot of people who believe in religion — javi2541997
Agent Smith — Agent Smith
Survival mode, or horde mode, is a game mode in a video game in which the player must continue playing for as long as possible without dying in an uninterrupted session while the game presents them with increasingly difficult waves of challenges. — Wikipedia
Pierce's semiotic triangle. — Count Timothy von Icarus
Peirce's semiotic triangle
It consists of three objects: the sign (i.e. the world as filtered by the sensor), the object (i.e. the physical object), and the interpretant (i.e. the understanding reached by the observer of some sign/object relation).
https://www.researchgate.net — researchgate
References to the concept of atomism and its atoms appeared in both ancient Greek and ancient Indian philosophical traditions. Leucippus is the earliest figure whose commitment to atomism is well attested and he is usually credited with inventing atomism.[4] He and other ancient Greek atomists theorized that nature consists of two fundamental principles: atom and void. Clusters of different shapes, arrangements, and positions give rise to the various macroscopic substances in the world.[5][4] — Wikipedia
Tertullian (Quintus Septimius Florens Tertullianus) lived in Carthage and wrote around AD 197 to 215. He was the first Christian writer to write in Latin. He wrote lots of works. Around AD 210, Tertullian left the main church and joined the sect called the Montanists. https://www.youtube.com/watch?v=pVNGUx56JDc — ?
How prescient of the First Council of Nicaea — Banno
Your image of reality is full of aesthetics and honour. Let me be honest with you, I tend to make similar actions as yours. I never thought on mannequins (very good idea though) but other elements around me. Developing contact with everything which is around us is important to ensure a meaningful life.
For example: I have scheduled in my Google calendar all the "big moons" that appears in 2022. Whenever this day comes, I look so precisely the moon above my house. This situation gives some vibes of writing some poems or stories, but when I finish them I feel they are not well enough.
Nevertheless, I still think it is important to put an anime to all the elements.
I am inspired by Japanese tradition of shinto (神道): Shinto is polytheistic and revolves around the kami, supernatural entities believed to inhabit all things. The link between the kami and the natural world has led to Shinto being considered animistic....
In Shinto, kannagara ("way of the kami") describes the law of the natural order, with wa ("benign harmony") being inherent in all things — javi2541997