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the Common Core standards used by a majority of K-12 programs in the country require that students be able to “distinguish among fact, opinion, and reasoned judgment in a text.”

So what’s wrong with this distinction and how does it undermine the view that there are objective moral facts?

For example, many people once thought that the earth was flat. It’s a mistake to confuse truth (a feature of the world) with proof (a feature of our mental lives)

Furthermore, if proof is required for facts, then facts become person-relative. Something might be a fact for me if I can prove it but not a fact for you if you can’t. In that case, E=MC2 is a fact for a physicist but not for me.

worse, students are taught that claims are either facts or opinions. They are given quizzes in which they must sort claims into one camp or the other but not both. But if a fact is something that is true and an opinion is something that is believed, then many claims will obviously be both

How does the dichotomy between fact and opinion relate to morality

Kids are asked to sort facts from opinions and, without fail, every value claim is labeled as an opinion.

Here’s a little test devised from questions available on fact vs. opinion worksheets online: are the following facts or opinions? — Copying homework assignments is wrong. — Cursing in school is inappropriate behavior. — All men are created equal. — It is worth sacrificing some personal liberties to protect our country from terrorism. — It is wrong for people under the age of 21 to drink alcohol. — Vegetarians are healthier than people who eat meat. — Drug dealers belong in prison.

The answer? In each case, the worksheets categorize these claims as opinions. The explanation on offer is that each of these claims is a value claim and value claims are not facts. This is repeated ad nauseum: any claim with good, right, wrong, etc. is not a fact.

In summary, our public schools teach students that all claims are either facts or opinions and that all value and moral claims fall into the latter camp. The punchline: there are no moral facts. And if there are no moral facts, then there are no moral truths.

It should not be a surprise that there is rampant cheating on college campuses: If we’ve taught our students for 12 years that there is no fact of the matter as to whether cheating is wrong, we can’t very well blame them for doing so later on.

If it’s not true that it’s wrong to murder a cartoonist with whom one disagrees, then how can we be outraged? If there are no truths about what is good or valuable or right, how can we prosecute people for crimes against humanity? If it’s not true that all humans are created equal, then why vote for any political system that doesn’t benefit you over others?

the curriculum sets our children up for doublethink. They are told that there are no moral facts in one breath even as the next tells them how they ought to behave.

Our children deserve a consistent intellectual foundation. Facts are things that are true. Opinions are things we believe. Some of our beliefs are true. Others are not. Some of our beliefs are backed by evidence. Others are not.

Value claims are like any other claims: either true or false, evidenced or not.

The hard work lies not in recognizing that at least some moral claims are true but in carefully thinking through our evidence for which of the many competing moral claims is correct.

Moral truths are not the same as scientific truths or mathematical truths. Yet they may still be used a guiding principle for our individual lives as well as our laws.But there is equal danger of giving moral judgments the designation of truth as there is in not doing so. Many people believe that abortion is murder on the same level as shooting someone with a gun. But many others do not. So is it true that abortion is murder?Moral principles can become generally accepted and then form the basis for our laws. But many long accepted moral principles were later rejected as being faulty. "Separate but equal" is an example. Judging homosexual relationships as immoral is another example.

Whoa! That Einstein derived an equation is a fact. But the equation represents a theory that may have to be tweaked at some point in the future. It may be a fact that the equation foretold the violence of atomic explosions, but there are aspects of nature that elude the equation. Remember "the theory of everything?"

Here is a moral fact, this is a sermon masquerading as a philosophical debate on facts, opinions and truth. This professor of religion is asserting that the government via common core is teaching atheism via the opinion vs fact.He is arguing, in a dishonest form, that public schools should be teaching moral facts. Of course moral facts is code for the Ten Commandments.

As a fourth grade teacher, I try to teach students to read critically, including distinguishing between facts and opinions as they read (and have been doing this long before the Common Core arrived, by the way). It's not always easy for children to grasp the difference. I can only imagine the confusion that would ensue if I introduced a third category -- moral "facts" that can't be proven but are true nonetheless!

horrible acts occur not because of moral uncertainty, but because people are too sure that their views on morality are 100% true, and anyone who fails to recognize and submit themselves are heathens who deserve death.I can't think of any case where a society has suffered because people are too thoughtful and open-minded to different perspectives on moral truth.In any case, it's not an elementary school's job to teach "moral truths."

The characterization of moral anti-realism as some sort of fringe view in philosophy is misleading. Claims that can be true or false are, it seems, 'made true' by features of the world. It's not clear to many in philosophy (like me) just what features of the world could make our moral claims true. We are more likely to see people's value claims as making claims about, and enforcing conformity to, our own (contingent) social norms. This is not to hold, as Mr. McBrayer seems to think follows, that there are no reasons to endorse or criticize these social norms.

This is nonsense. Giving kids the tools to distinguish between fact and opinion is hard enough in an age when Republicans actively deny reality on Fox News every night. The last thing we need is to muddy their thinking with the concept of "moral facts."A fact is a belief that everyone _should_ agree upon because it is observable and testable. Morals are not agreed upon by all. Consider the hot button issue of abortion.

Truthfully, I'm not terribly concerned that third graders will end up taking these lessons in the definition of fact versus opinion to the extremes considered here, or take them as a license to cheat. That will come much later, when they figure out, as people always have, what they can get a way with. But Prof. McBrayer, with his blithe expectation that all the grownups know that there moral "facts"? He scares the heck out of me.

I've long chafed at the language of "fact" v. "opinion", which is grounded in a very particular, limited view of human cognition. In my own ethics courses, I work actively to undermine the distinction, focusing instead on considered judgment . . . or even more narrowly, on consideration itself. (See http://wp.me/p5Ag0i-6M )

The real waffle here is the very concept of "moral facts." Our statements of values, even very important ones are, obviously, not facts. Trying to dress them up as if they are facts, to me, argues for a pretty serious moral weakness on the part of those advancing the idea.

Our core values are not important because they are facts. They are important because we collectively hold them and cherish them. To lean on the false crutch of "moral facts" to admit the weakness of your own moral convictions.

I would like to believe that there is a core of moral facts/values upon which all humanity can agree, but it would be tough to identify exactly what those are.

For the the ancient philosophers, reality comprised the Good, the True, and the Beautiful (what we might now call ethics, science and art), seeing these as complementary and inseparable, though distinct, realms. With the ascendency of science in our culture as the only valid measure of reality to the detriment of ethics and art (that is, if it is not observable and provable, it is not real), we have turned the good and the beautiful into mere "social constructs" that have no validity on their own. While I am sympathetic in many ways with Dr. McBrayer's objections, I think he falls into the trap of discounting the Good and The Beautiful as valid in and of themselves, and tries, instead, to find ways to give them validity through the True. I think his argument would have been stronger had he used the language of validity rather than the language of truth. Goodness, Truth and Beauty each have their own validity, though interdependent and inseparable. When we artificially extract one of these and give it primacy, we distort reality and alienate ourselves from it.

Professor McBrayer seems to miss the major point of the Common Core concern: can students distinguish between premises based on (reasonably construed) fact and premises based on emotion when evaluating conclusions? I would prefer that students learn to reason rather than be taught moral 'truth' that follows Professor McBrayer's logic.

Moral issues cannot scientifically be treated on the level that Prof. McBrayer is attempting to use in this column: true or false, fact or opinion or both. Instead, they should be treated as important characteristics of the systematic working of a society or of a group of people in general. One can compare the working of two groups of people: one in which e.g. cheating and lying is acceptable, and one in which they are not. One can use historical or model examples to show the consequences and the working of specific systems of morals. I think that this method - suitably adjusted - can be used even in second grade.

Relativism has nothing to do with liberalism. The second point is that I'm not sure it does all that much harm, because I have yet to encounter a student who thought that he or she had to withhold judgment on those who hold opposing political views!

ways of working are critical in mathematical work and when they are taught and valued, many more students contribute, leading to higher achievement

mathematics education we suffer from the widespread, distinctly American idea that only some people can be “math people.” This idea has been disproved by scientific research showing the incredible potential of the brain to grow and adapt. But the idea that math is hard, uninteresting, and accessible only to “nerds” persists. 

harsh stereotypical thinking—mathematics is for select racial groups and men. This thinking, as well as the teaching practices that go with it, have provided the perfect conditions for the creation of a math underclass.

online platform explaining research evidence on ability and the brain and on good mathematics teaching, for teachers and parents. The course had a transformative effect. It was taken by 40,000 people, and 95 percent said they would change their teaching or parenting as a result.

does not simply test a mathematical definition, as the first does. It requires that students visualize a triangle, use transformational geometry, consider whether different cases satisfy the mathematical definition, and then justify their thinking.

There is a good reason for this: Justification and reasoning are two of the acts that lie at the heart of mathematics. They are, in many ways, the essence of what mathematics is.  Scientists work to prove or disprove new theories by finding many cases that work or counter-examples that do not. Mathematicians, by contrast prove the validity of their propositions through justification and reasoning.

The young people who are successful in today’s workforce are those who can discuss and reason about productive mathematical pathways, and who can be wrong, but can trace back to errors and work to correct them.

American idea that those who are good at math are those who are fast. Speed is revered in math classes across the U.S., and students as young as five years old are given timed tests—even though these have been shown to create math anxiety in young children. Parents use flash cards and other devices to promote speed, not knowing that they are probably damaging their children’s mathematical development

The fact of being quick or slow isn't really relevant

gives more time for depth and exploration than the curricula it has replaced by removing some of the redundant methods students will never need or use.

Noether’s theorem shows that a symmetry of time — like the fact that whether you throw a ball in the air tomorrow or make the same toss next week will have no effect on the ball’s trajectory — is directly related to the conservation of energy, our old homily that energy can be neither created nor destroyed but merely changes form.

The fringe of physics is not a sharp boundary with truth on one side and fantasy on the other. All of science is uncertain and subject to revision. The glory of science is to imagine more than we can prove. The fringe is the unexplored territory where truth and fantasy are not yet disentangled.

She became a science journalist. At first it was a lark, a way to get free press passes to conferences where she and her father could ask questions of the greatest minds in quantum mechanics, string theory and cosmology. But within a short time, as she started getting assignments, journalism became a calling, and an identity.

Tracking down the meaning of nothing — and, by extension, secrets about the origin of the universe and whether observer-independent reality exists — became the defining project of their lives. They spent hours together working on the puzzle, two dark heads bent over their physics books far into the night.

she has an epiphany — that for something to be real, it must be invariant — she flies home to share it with her father. They discuss her insight over breakfast at a neighborhood haunt, where they make a list on what they will affectionately call “the IHOP napkin.” They list all the possible “ingredients of ultimate reality,” planning to test each item for whether it is “real,” that is whether it is invariant and can exist in the absence of an observer.

their readings and interviews reveal that each item in turn is observer-dependent. Space? Observer-dependent, and therefore not real. Gravity, electromagnetism, angular momentum? No, no, and no. In the end, every putative “ingredient of ultimate reality” is eliminated, including one they hadn’t even bothered to put on the list because it seemed weird to: reality itself

What remained was an unsettling and essential insight: that “physics isn’t the machinery behind the workings of the world; physics is the machinery behind the illusion that there is a world.”

In the proposal, she clarifies how cosmology and quantum mechanics have evolved as scientists come to grips with the fact that things they had taken to be real — quantum particles, space-time, gravity, dimension — turn out to be ­observer-dependent.

molecular biologists were soon speaking of information, not to mention codes, libraries, alphabets and transcription, without any sense of metaphor. In Gleick’s words, “Genes themselves are made of bits.” At the same time, physicists exploring what Einstein had called the “spooky” paradoxes of quantum mechanics began to see information as the substance from which everything else in the universe derives. As the physicist John Archibald Wheeler put it in a paper title, “It From Bit.”

as Albert Einstein put it, “You can never solve a problem on the level on which it was created.”

The authors claim that philosophy abandoned its relationship to other disciplines by creating its own purified domain, accessible only to credentialed professionals. It is true that from roughly 1930 to 1950, some philosophers — logical empiricists, in particular — did speak of philosophy having its own exclusive subject matter. But since that subject matter was logical analysis aimed at unifying all of science, interdisciplinarity was front and center.

Philosophy also played a role in 20th-century physics, influencing the great physicists Albert Einstein, Niels Bohr and Werner Heisenberg. The philosophers Moritz Schlick and Hans Reichenbach reciprocated that interest by assimilating the new physics into their philosophies.

developed ideas relating logic to linguistic meaning that provided a framework for studying meaning in all human languages. Others, including Paul Grice and J.L. Austin, explained how linguistic meaning mixes with contextual information to enrich communicative contents and how certain linguistic performances change social facts. Today a new philosophical conception of the relationship between meaning and cognition adds a further dimension to linguistic science.

Decision theory — the science of rational norms governing action, belief and decision under uncertainty — was developed by the 20th-century philosophers Frank Ramsey, Rudolph Carnap, Richard Jeffrey and others. It plays a foundational role in political science and economics by telling us what rationality requires, given our evidence, priorities and the strength of our beliefs. Today, no area of philosophy is more successful in attracting top young minds.

Philosophy also assisted psychology in its long march away from narrow behaviorism and speculative Freudianism. The mid-20th-century functionalist perspective pioneered by Hilary Putnam was particularly important. According to it, pain, pleasure and belief are neither behavioral dispositions nor bare neurological states. They are interacting internal causes, capable of very different physical realizations, that serve the goals of individuals in specific ways. This view is now embedded in cognitive psychology and neuroscience.

philosopher-mathematicians Gottlob Frege, Bertrand Russell, Kurt Gödel, Alonzo Church and Alan Turing invented symbolic logic, helped establish the set-theoretic foundations of mathematics, and gave us the formal theory of computation that ushered in the digital age

Philosophy of biology is following a similar path. Today’s philosophy of science is less accessible than Aristotle’s natural philosophy chiefly because it systematizes a larger, more technically sophisticated body of knowledge.

Philosophy’s interaction with mathematics, linguistics, economics, political science, psychology and physics requires specialization. Far from fostering isolation, this specialization makes communication and cooperation among disciplines possible. This has always been so.

Nor did scientific progress rob philosophy of its former scientific subject matter, leaving it to concentrate on the broadly moral. In fact, philosophy thrives when enough is known to make progress conceivable, but it remains unachieved because of methodological confusion. Philosophy helps break the impasse by articulating new questions, posing possible solutions and forging new conceptual tools.

Our knowledge of the universe and ourselves expands like a ripple surrounding a pebble dropped in a pool. As we move away from the center of the spreading circle, its area, representing our secure knowledge, grows. But so does its circumference, representing the border where knowledge blurs into uncertainty and speculation, and methodological confusion returns. Philosophy patrols the border, trying to understand how we got there and to conceptualize our next move.  Its job is unending.

Although progress in ethics, political philosophy and the illumination of life’s meaning has been less impressive than advances in some other areas, it is accelerating.

the advances in our understanding because of careful formulation and critical evaluation of theories of goodness, rightness, justice and human flourishing by philosophers since 1970 compare well to the advances made by philosophers from Aristotle to 1970

The knowledge required to maintain philosophy’s continuing task, including its vital connection to other disciplines, is too vast to be held in one mind. Despite the often-repeated idea that philosophy’s true calling can only be fulfilled in the public square, philosophers actually function best in universities, where they acquire and share knowledge with their colleagues in other disciplines. It is also vital for philosophers to engage students — both those who major in the subject, and those who do not. Although philosophy has never had a mass audience, it remains remarkably accessible to the average student; unlike the natural sciences, its frontiers can be reached in a few undergraduate courses.

At the same time, videogames are becoming more and more sophisticated and in the future we’ll be able to have simulations of conscious entities inside them.

“Forty years ago we had Pong – two rectangles and a dot. That’s where we were. Now 40 years later, we have photorealistic, 3D simulations with millions of people playing simultaneously and it’s getting better every year. And soon we’ll have virtual reality, we’ll have augmented reality,” said Musk. “If you assume any rate of improvement at all, then the games will become indistinguishable from reality.”

“If one progresses at the current rate of technology a few decades into the future, very quickly we will be a society where there are artificial entities living in simulations that are much more abundant than human beings.

If there are many more simulated minds than organic ones, then the chances of us being among the real minds starts to look more and more unlikely. As Terrile puts it: “If in the future there are more digital people living in simulated environments than there are today, then what is to say we are not part of that already?”

Reasons to believe that the universe is a simulation include the fact that it behaves mathematically and is broken up into pieces (subatomic particles) like a pixelated video game. “Even things that we think of as continuous – time, energy, space, volume – all have a finite limit to their size. If that’s the case, then our universe is both computable and finite. Those properties allow the universe to be simulated,” Terrile said

“Is it logically possible that we are in a simulation? Yes. Are we probably in a simulation? I would say no,” said Max Tegmark, a professor of physics at MIT.

“In order to make the argument in the first place, we need to know what the fundamental laws of physics are where the simulations are being made. And if we are in a simulation then we have no clue what the laws of physics are. What I teach at MIT would be the simulated laws of physics,”

Terrile believes that recognizing that we are probably living in a simulation is as game-changing as Copernicus realizing that the Earth was not the center of the universe. “It was such a profound idea that it wasn’t even thought of as an assumption,”

That we might be in a simulation is, Terrile argues, a simpler explanation for our existence than the idea that we are the first generation to rise up from primordial ooze and evolve into molecules, biology and eventually intelligence and self-awareness. The simulation hypothesis also accounts for peculiarities in quantum mechanics, particularly the measurement problem, whereby things only become defined when they are observed.

“For decades it’s been a problem. Scientists have bent over backwards to eliminate the idea that we need a conscious observer. Maybe the real solution is you do need a conscious entity like a conscious player of a video game,

How can the hypothesis be put to the test

scientists can look for hallmarks of simulation. “Suppose someone is simulating our universe – it would be very tempting to cut corners in ways that makes the simulation cheaper to run. You could look for evidence of that in an experiment,” said Tegmark

First, it provides a scientific basis for some kind of afterlife or larger domain of reality above our world. “You don’t need a miracle, faith or anything special to believe it. It comes naturally out of the laws of physics,”

it means we will soon have the same ability to create our own simulations. “We will have the power of mind and matter to be able to create whatever we want and occupy those worlds.”

Before he died, Richard Feynman, who understood quantum theory as well as anyone, said, “I still get nervous with it...I cannot define the real problem, therefore I suspect there’s no real problem, but I’m not sure there’s no real problem.” The problem is not with using the theory — making calculations, applying it to engineering tasks — but in understanding what it means. What does it tell us about the world?

From one point of view, quantum physics is just a set of formalisms, a useful tool kit. Want to make better lasers or transistors or television sets? The Schrödinger equation is your friend. The trouble starts only when you step back and ask whether the entities implied by the equation can really exist. Then you encounter problems that can be described in several familiar ways:

Wave-particle duality. Everything there is — all matter and energy, all known forces — behaves sometimes like waves, smooth and continuous, and sometimes like particles, rat-a-tat-tat. Electricity flows through wires, like a fluid, or flies through a vacuum as a volley of individual electrons. Can it be both things at once?

The uncertainty principle. Werner Heisenberg famously discovered that when you measure the position (let’s say) of an electron as precisely as you can, you find yourself more and more in the dark about its momentum. And vice versa. You can pin down one or the other but not both.

The measurement problem. Most of quantum mechanics deals with probabilities rather than certainties. A particle has a probability of appearing in a certain place. An unstable atom has a probability of decaying at a certain instant. But when a physicist goes into the laboratory and performs an experiment, there is a definite outcome. The act of measurement — observation, by someone or something — becomes an inextricable part of the theory

The strange implication is that the reality of the quantum world remains amorphous or indefinite until scientists start measuring

Other interpretations rely on “hidden variables” to account for quantities presumed to exist behind the curtain.

This is disturbing to philosophers as well as physicists. It led Einstein to say in 1952, “The theory reminds me a little of the system of delusions of an exceedingly intelligent paranoiac.”

“Figuring out what quantum physics is saying about the world has been hard,” Becker says, and this understatement motivates his book, a thorough, illuminating exploration of the most consequential controversy raging in modern science.

In a way, the Copenhagen is an anti-interpretation. “It is wrong to think that the task of physics is to find out how nature is,” Bohr said. “Physics concerns what we can say about nature.”

Nothing is definite in Bohr’s quantum world until someone observes it. Physics can help us order experience but should not be expected to provide a complete picture of reality. The popular four-word summary of the Copenhagen interpretation is: “Shut up and calculate!”

Becker sides with the worriers. He leads us through an impressive account of the rise of competing interpretations, grounding them in the human stories

He makes a convincing case that it’s wrong to imagine the Copenhagen interpretation as a single official or even coherent statement. It is, he suggests, a “strange assemblage of claims.

An American physicist, David Bohm, devised a radical alternative at midcentury, visualizing “pilot waves” that guide every particle, an attempt to eliminate the wave-particle duality.

Competing approaches to quantum foundations are called “interpretations,” and nowadays there are many. The first and still possibly foremost of these is the so-called Copenhagen interpretation.

Perhaps the most popular lately — certainly the most talked about — is the “many-worlds interpretation”: Every quantum event is a fork in the road, and one way to escape the difficulties is to imagine, mathematically speaking, that each fork creates a new universe

if you think the many-worlds idea is easily dismissed, plenty of physicists will beg to differ. They will tell you that it could explain, for example, why quantum computers (which admittedly don’t yet quite exist) could be so powerful: They would delegate the work to their alter egos in other universes.

When scientists search for meaning in quantum physics, they may be straying into a no-man’s-land between philosophy and religion. But they can’t help themselves. They’re only human.

If you were to watch me by day, you would see me sitting at my desk solving Schrödinger’s equation...exactly like my colleagues,” says Sir Anthony Leggett, a Nobel Prize winner and pioneer in superfluidity. “But occasionally at night, when the full moon is bright, I do what in the physics community is the intellectual equivalent of turning into a werewolf: I question whether quantum mechanics is the complete and ultimate truth about the physical universe.”

There are two problems. One is that quantum mechanics, as it is enshrined in textbooks, seems to require separate rules for how quantum objects behave when we’re not looking at them, and how they behave when they are being observed

Why are observations special? What counts as an “observation,” anyway? When exactly does it happen? Does it need to be performed by a person? Is consciousness somehow involved in the basic rules of reality?

Together these questions are known as the “measurement problem” of quantum theory.

The other problem is that we don’t agree on what it is that quantum theory actually describes, even when we’re not performing measurements.

We describe a quantum object such as an electron in terms of a “wave function,” which collects the superposition of all the possible measurement outcomes into a single mathematical object

But what is the wave function? Is it a complete and comprehensive representation of the world? Or do we need additional physical quantities to fully capture reality, as Albert Einstein and others suspected? Or does the wave function have no direct connection with reality at all, merely characterizing our personal ignorance about what we will eventually measure in our experiments?

For years, the leading journal in physics had an explicit policy that papers on the foundations of quantum mechanics were to be rejected out of hand

Despite its dependence on hard evidence, science is a creative discipline. That creativity needs nurturing, even in this age of performance targets and impact assessments. Scientist need to flex their imaginations, too.

“Let us dare to dream,” the chemist August Kekulé once suggested, “and then perhaps we may learn the truth.”

Physics isn’t the only field that might benefit from a judicious dose of what-iffery. Attempts to understand consciousness are also just inching forward