Atheist by De Morgan's Law

There are different versions of De Morgan's law, but the basic idea is as follows:

Suppose A, B, and C stand for propositions. If it's not the case that A is true and B is true and C is true, then it is the case that either A is false, or B is false, or C is false.

To believe in standard Orthodox Judaism, you need to believe in a whole bunch of propositions: god exists, created the world, and spoke to the Israelites on Mt. Sinai; the Talmud reflects what god told Moses; etc.

By De Morgan's law, standard Orthodox Judaism would be false if only one of those propositions were false. So it's much easier for me to be right than y'all to be right.

What is Modern Chabad?

I have recently had the opportunity to observe Modern Lubavitchers in their natural habitat. At first I was appalled by their flagrant disregard of traditional Lubavitcher scruples. The men touch their beards and wear jeans. On Shabbos they're all in cuff links and ties (although they all wear white shirts). The women show much too much elbow, knee, and tichel. Why, even the rabbi's own daughter wears short sleeves, despite her old age of four!

But then I started thinking, af dem hut men gehorevet in Tomchei Temimim? Are clothes and hair all that distinguishes these creatures from their forebears? Here are some more subtle irregularities I have found:

ML men rarely pray with a minyan.
ML men are comfortable praying hatless, jacketless, and in pajamas.
ML families might use the same countertops and tables for both milchigs and fleishigs.
ML households buy whatever meat the kosher store sells.
ML couples vacation in Los Vegas.
When MLs invite friends for Shabbos meals, they use cloth napkins, napkin rings, chargers, and would never serve gefilte fish.
At said Shabbos meals, topics of conversation may include sports, movies, TV (presumably watched on computer screens), and prostate exams.
Many MLs use a non-Alter-Rebbe's eruv on Shabbos.

(Note: These conclusions are based on studying an extremely small sample of the ML population.)

Clearly, among the local population an insidious rot has crept into even the most deeply held of our sacred principles. On the other hand I have noticed that at the kindergarden graduation of a school at which many ML children are educated, the Rebbeim dramatically eclipsed God. So maybe these people can still claim to be Lubavitchers.

Oh yeah, there's also the small issue of stealing a rich synagogue. But that's neither here nor there.

Searching for Truth

Today I visited the following six Crown-Heights stores looking for frozen 6-inch pie shells: Kahan's Superette, Benz's, Albany Bake Shoppe, Koshertown, Empire Kosher, and Kol Tov. Two of the stores did not carry this item. The other four all carried the same brand, namely Unger's (in packages of four). Yet, they each charged different amounts. The respective prices were, $4.19, $4.09, $3.99, and $2.99.

Can you guess which stores carried it and at which prices?

The prize for the correct guesser is a six-inch sweet-potato pie.

Formerly Frum Peeps: Know Your Limits

Those who think they're going to save the world by attending The internet is NOT your problem to protest the big anti-Internet asifa, should first read the wisdom of Shulem Deen and Ushi Katz.

Have the OTD rabble rousers forgotten how frum people think? Sure, the secular press will love to write about them and their I-grew-up-in-a-cult horror stories, but the frummies they're trying to enlighten will never in a million years listen to them.

I wish I knew how to use a slide rule

From Wikipedia:

Compared to the portable electronic digital calculators that were introduced in the early 1970s, slide rules had various advantages and disadvantages.

Advantages

• The spatial, manual operation of slide rules cultivates in the user an intuition for numerical relationships and scale that people who have used only digital calculators often lack.^[21] Since users must explicitly note the order of magnitude at each step in order to interpret the results, they are less likely to make extreme calculation errors; users are forced to use common sense and an understanding of the subject as they calculate. Since order of magnitude gets the greatest prominence when using a slide rule, and precision is limited only to the few digits that are normally useful, users are less likely to make errors of false precision.
• When performing a sequence of multiplications or divisions by the same number, the answer can often be determined by merely glancing at the slide rule without any manipulation. This can be especially useful when calculating percentages (e.g. for test scores) or when comparing prices (e.g. in dollars per kilogram). Multiple speed-time-distance calculations can be performed hands-free at a glance with a slide rule.
• Other useful constants such as pounds to kilograms can be easily marked on the rule and used directly in calculations.
• A slide rule does not depend on electricity or batteries.
• The principle of operation of a slide rule can be demonstrated with a pair of hand-made paper scales.
• A slide rule displays all the terms of a calculation along with the result. This eliminates uncertainty about what calculation was actually performed.
• A slide rule is physically more durable than an electronic calculator and is impervious to moisture and immersion in water.

The professor who taught me physics was from the slide-rule generation. He could do calculations like sin(4)/1.76 in his head.

Not Only Sarabonne has Roommates

My roommate: You know how people should really celebrate Easter? By dressing up as zombies. Doesn't Easter commemorate Jesus' becoming a zombie? What do bunnies have to do with it?
Me: Well, you know that the Easter bunny developed out of earlier, pagan traditions.
Roommate: Yeah, I know. Hey. I knew some Christians who wouldn't celebrate Halloween, because they say it's devil worship. They should make up for it by dressing up on Easter.
Me: What about the girls who want to dress slutty? Oh, I know! They can dress like Mary Magdalene.
Roommate: Yep, the only Biblically sanctioned costumes are zombies and Mary Magdalene.
Me: Well, the zombies in the Bible don't try to eat people's brains.
Roommate: The Christians are the zombies! They eat Jesus' flesh and blood.
Me: Right! That's why they're called born-again. Baptism symbolizes dying in the water and emerging reborn--as a Jesus-eating zombie.
Roommate: Totally. We've just figured out what Christianity is really all about. We should make sure our message gets out before Easter.

It's my blog, and I'll cry if I want to...

...and I'll recommend books that no one will ever read.

There's this perennial discussion whether math is "real" or not. My personal opinion is that it isn't. Are you "really" out when you get hit with a ball in dodge ball? Does something about you change when you get hit? Not really. If the recess bell rang right then, your outness and your friends' inness, would suddenly disappear. The property of "being in" or "being out" exists only within the game. So you're "really" out as much as the game is real, which I don't think is a whole lot.

Math is the same way. Is it a "real" truth that every odd-dimensional square matrix with real entries has at least one real eigenvalue, but some even-dimensional square matrices with real entries have no real eigenvalues? Well, it's a real truth in this game of mathematics.

Why are dodge-ball properties less real than say biological properties or physical properties? A wise man once said, "Reality is that which does not go away when when you stop believing in it." If we stopped believing in physics or biology, they would still exist. Nobody would know about their existence, just like nobody knew their existence for thousands of years before science came around. Dodge ball, on the other hand, exists only as long as we believe in it.

And math is the same.

If my blog had any readers other than those who have heard this lecture from me before, they would doubtlessly be clamoring, "What do you mean? Two and two would still be four, even if nobody knew it!"

To which I respond, would the polynomials still form a ring if nobody knew it? Would Gaussian integers still have unique factorizations (up to multiplication by a unit) if nobody knew it? Would "P implies Q" be equivalent to "not P or Q" if nobody knew it? Would e^(ix)=cos(x)+isin(x) if nobody knew about it? More simply, would (-2)*(-2) still equal positive four if nobody knew it?

The book Negative Math: How Mathematical Rules Can be Positively Bent, by Alberto A. Martínez, discusses this question at length. His answer is pretty much "No." Supposedly his book uses only basic algebra and a minimum of mathematical symbols and is easily accessible to people with rudimentary mathematical knowledge. I read it. I enjoyed it. It opened my eyes. But I don't think anyone reading this blog would enjoy it. So instead of telling you all to read it, I'll just tell you one of the central points of the book: If we wanted to, we could have made the rules of mathematics different than they are. Very different. It would have made math more suitable for some purposes and less suitable for others. Our current version is pretty damn good, and we should have no regrets. But things could have been very different.

To make matters worse, I believe City College's copy of this book is missing, even though the catalog keeps on telling me to "check [the] shelf." So I can't even get my mathematically inclined friends to read the book. Yes, life is tough.