Saturday, June 18, 2016

Philosophy meets Math

This came across on Facebook, and someone said he needed a formula or something to help him solve this kind of puzzle.  Matthew Eastland, the son of an old friend of mine pointed out that there are apparently two, or maybe 3 solutions that are possible.  I composed an answer to a friend of a friend that had picked one of the "incorrect" answers but messed up one step.  Here are my thoughts.

#1 Take it at face value that only the first equation is correct. That is, we know that 1+4=5. The others are nonsense statements, so 8+11=19.

#2 Taking the four equations as separate and equal, you look for a formula that will make each correct. In such, you look at each number and check the relationship with the others. In the second case, what do you add to 2 to get 12? What does that number have in common with the 5? You might ask the question like this:

If 1+4=5 and 2+5=12 and 3+7=21, then what does 8+11 equal? You apply the same rules to each separate equation, rather than to the string as connected problem. The answer this way is 96. The formula is x+xy=z.

You might notice that the first three equations form a progression with a twist. x goes from 1 to 3; and y goes from 4 to 7. THEN, x increases to one more than y in the previous equation in equation #4. This leads in a way to choice #3.

#3 The answer of 40 comes by reading the problem, looking for a relative position of each of the integers rather than looking for a formula in the strictest sense. By what is probably not coincidental (I have not done the math behind it), a relationship is found between all the integers shown.

Assuming the four lines as parts of the whole, and for convenience, make each number a signed integer.

+1+4= +5 +2+5 = +12 +3+6= +21 +8+11=?

In this way, each part builds on the other one. The last equation becomes 21+8+11= 40.

A closer look at equations 1, 2 and 3 show a progression of the "answers" by the odd numbers of 7, 9 and 11. This is a clue that there is an algebraic progression, pointing to #2 being the correct answer. However, if we don't treat each line uniquely, then #3 moves us to look for a linear progression instead. That is why I lined the equations up the way I did (sort of like taking away the "wordwrap."

It seems like the analysis depends on the approach to the "truth." #1 takes it at its face value, leading one to reject obvious falsehood. Let's face it, 2+5 =/= 12. Open and shut case! Everyone knows that 8+11 = 19!

But assuming that there is more to the equations than meets the eye, the integers take on different meanings in solution #2. Each is taken to represent the same principle. Some formula has to be found to make each statement true. And then that principle is applied to make the last statement true as well. This is like comparing different testimonies in a court of law.

Solution #3 makes correlations between the separate integers and signs. Each step is taken based on the symbol (assumed or present) to its left. Like #1, everything is taken at face value. All the known facts are laid out and the observer builds a story out of them.  I call this "linear" thinking. When the equations in the middle seemed like nonsense, their context was used to arrive at a conclusion.

Different approaches, in the real world outside of numbers, can lead to solutions to big problems. Assuming facts to be false will leave many a mystery unsolved. Likewise, using known facts out of context will lead to wrong conclusions. It is only by fully analyzing the evidence can we come to the solution of the problems we face.

Next week, I may be chosen to sit on a jury.  In a court of law, it is necessary for a jury, or a judge, to apply logic that goes deeper than the "face value" of the facts.  Bias cannot be allowed whereby evidence is cast aside due to it's seeming nonsense.  Some things we "know" might not be true.  Just like in solution #2, all is not as it seems.  Likewise, as in solution #3, facts out of context can lead to jumping to conclusions.

It is only through analytical thinking that progress towards truth can come.  Let us not "jump to conclusions" or make "snap judgments.

Thursday, November 20, 2014

First Words Spoken by God

This blog is a work in progress.  I will have to figure out how to embed a player.  Anyway, I am studying the "mechanics" of the sound made over (or into) the waters when God brought light into existence.  Here is a link.  Hopefully your browser will open it in another window).

"Let There Be Light" (in Hebrew)

Phonetically, this is three consonants and three vowels (Ye-Hee-OR).  Two of the vowel sounds (lower case) are added with vowel points much later, but by scholars long committed to vocalizing the text.  The actual letters are Yoth-He-Yoth-Aleph-Wau-Resh.  Vowel points vocalize Yoth and the He-Yoth, while the Aleph is "silent" lending its vowel point to the Wau (= 'o').  At the end is the letter transliterated as "R."

The words begin with the Vowel/consonant pronounced Y' ("yuh") followed by the Vowel/consonants HY  ("hiy").  The second word is transliterated " AOR, but pronounced "Ohr."  As can be seen, the only "full" consonant ("stop") is the "R" at the end.  Though the Y and H are vocalized, the sound is made in the vocal cords rather than in the mouth.  However, the tongue forms the "uh," and "ee" sounds.  Then, the mouth forms the "oh" sound before the "R" vocalization "rolls" off the tongue and on to the lips.

The "R" sound is in a way the weakest of the full consonants, and is almost a semi-vowel on its own.  In making the sound, though, the vibration begins in the vocal cords and travels all the way to the lips.  Both the Yoth and the He also began in the vocal cords but had very little reverberation in the mouth itself.  All in all, the whole phrase pronounced with only breath and vocal cords.  It is truly the breath of God made "audible" via vibrations of that air.

In essence, "Ye HiY 'OR" is six sounds that get the "waters" to move.  The Spirit of God "stirs" the waters, and subsequently LIGHT appears.  The sound waves are converted to electromagnetic waves and creation has its first day completed.

Saturday, August 09, 2014

Virtual Tour - US 1: Key Largo

Key Largo -- The Large Key -- is the largest of the many islands extending from the "mainland" of Florida.  In an attempt to avoid any law suits for invasion of privacy, I borrowed this shot from Google Earth.  It may include some private land, but I don't think it is identifiable.  I call it a "sneak peek" of the Gulf.  It is a peek over a fence at the end of a cul de sac.  This view of houses, docks and boats is typical on Key Largo. The photo is a composite, copyrighted by Google and the US Department of State.

This is a "far cry" from my one visit to the keys many years ago!  Our visit was in a station wagon pulling a borrowed (or rented) popup camper.  We stayed in a campground on a smaller key along US 1 where the ground water tasted strongly of sulfur.  It may have looked something like this, Calusa Campground in Key Largo.  Again, over the fence, courtesy of Google Earth.

Between Key Largo and the mainland are scores, if not hundreds, of be tiny islands, most of which are uninhabited. Each island is a "key" contributing to probably over half of the more famous string that are connected by US 1.  Other islands along the west coast of Florida are also designated as "keys."  According to Meriam Webster Dictionary this homograph is derived from the a native language spoken by the Taino, a Caribbean people.  They Spanish spelled in "cayo," which the English co-opted.  It may have once been pronounced as if rhyming with "they" or "grey."  In fact, the alternate spelling of "cay" is also pronounced "kee"!  The English language cannot be "trusted."

Since 1947 all the Keys of Florida south of the Everglades (the vast majority of the islands called "keys") have been part of the Everglades National Park.  As such, only the largest of the islands are populated.  Some of the islands are "privately owned," but I strongly suspect that they are also quite regulated.  It's a shame that, for the sake of a subspecies here or there the "last frontier" of South Florida is practically 'off limits.'

Thursday, August 07, 2014

A virtual trip up US Route 1: The Florida Keys.

Okay, I know I didn't take this picture, but I was near there many years ago when Mom, my brother and I left Dad and the younger siblings somewhere in the Keys to go to Key West.  On a recent trip to North, South Carolina (see last week's blog), I could not resist having my picture taken in Leesville, SC, where my wife and I ate at a Hardee's right on "America's Highway."  Here is proof:

I'll get there, eventually, on this virtual tour, but today I want to just ease into the idea that perhaps will give me something to write about for the blog.  In what was just serendipitous browsing to "Next Blog," I came upon pictures and narrative of a visit to Maine, one of the states to which I've never been.  It mentioned Wells, Maine, which sits closer to the other end of US 1 than the intersection above is to Mile 0 in Key West.  The route between the two signs above is 784 miles.

So, what can I say, I've been to many of the points of interest on US 1 in Florida, though I am not sure which that I have pictures available.  In this tour I will be posting pictures mined from Google Earth, all via links directly to the source.  So, let's begin.  The Photo Op for the "Begin" sign actually looks southward away from the historic highway.  This picture was taken directly from "Street Level" and has the copyrights clearly visible in full size:

And so, turning around, we head northeast and head toward the "Florida Keys Scenic Highway."  There is a lot to see in historic Key West, but the "furthest south" landmark is not on this highway, but here is historic St. Paul's Epispocal Church (unless otherwise stated, all copyrighted by Google Earth):

As can be seen on both these Google Earth shots, the yellow street indicators are a dead give-away, but by using them, I think I am safe under public use laws.  Just in case, the whole picture is being used so that copyrights are clearly visible.  On the way out of town, this is what a typical roadside looks like:

Leaving the Keys behind, the only way out is the bridge over the Atlantic Ocean (or part of it anyway)!  At it's longest stretch, that is an astonishingly long seven miles!  Here is another Google Earth snapshot:

Well that's enough for now.  Next stop, Key Largo.  If anyone has actual photos or experiences from the Florida keys, or anywhere along US 1, feel free to share with me.  Perhaps I will get out to see some of this in person again, but for now, I'll be on Google Earth.


Tuesday, July 29, 2014

Don't Punch the "Cheerleader"

Okay, this time I used the numbers indirectly to find a news item to perhaps comment upon.  The numbers "generated" by my Solitaire program were "510 1112 6131," leading to a house at an address in Muskogee, Oklahoma.  The numbers are also three separate Nokia cell phones, but what's there to say about that?

So, looking for News about Muskogee, I come upon two criminal investigations: one of murder and one high-profile assault case.  I will comment on the alleged assault case.  I say "alleged" for legal clarification.  The accused admits to doing the damage to the woman accusing him in her own words "with one punch."

This is the case of incoming freshman Joe Mixon who unfortunately had a run-in with a local woman before ever attending Oklahoma University, who drafted him from California.  According to reports, Amelia Molitor, 20, accused him of hitting her in the face at a local cafe. Mixon claims self-defense.

Reports say that Mixon was celebrating his 18th birthday when "people at his table" were harassing the victim and her friends for some reason.  Apparently, someone got up and got physical, for a punch was thrown with enough force to "break [Molitor's] face in four places.  Mixon's defense lawyer says the 21l-pound 6'2" running back was acting in self-defense.  They are confident that surveillance tapes will prove this.

Ms. Molitor has a recent arrest record (jailed and charged with possession of marijuana, etc., last December), and has an outstanding bench warrant out on her for failure to follow instructions of the court.  She is currently "on the lam."  This woman, a blonde standing 5'7" and weighing in at 120 pounds, apparently had a too few too many drinks and felt she could take on a football player!

I do not condone striking a woman, especially when one's life is not threatened, but something is not right in this case.  The newly-minted adult, out to have his first "legal" beer, is faced with a woman two years his major who seems to be a bit tipsy.  Does she "get in his face" and he shields himself to her detriment?  Or did he get up to "make trouble" as part of an act of "harassment" that went beyond words.

Oh, I guess I ought to mention that Mixon is black.  I'm predicting that this will NOT be an issue with the defense, but that his defenders might charge the accuser of being racist.  This will be a big mistake, and I hope that a jury will be told to disregard such an attitude.  I am pretty sure that the video evidence will show that the "punch" was not delivered in an aggressive manner.  The younger man most likely reached out to push away the woman and made unfortunate contact.

Ms. Molitor has been quoted as saying she fears the fans of OU who were placing their hopes on Mixon to be a factor in the coming football season.  In saying this, she is assuming that he will be convicted of assault.  It is interesting that Ms. Molitor's mother does not want her to press charges.  Could it be that she fears her daughter's past will be used against her?

On the other hand, the defense is confident that the video evidence will exonerate Mixon.  The University will not comment, of course.  I am not sure if I would want to be on the jury.

The moral of the story is that a young man should not expect to think clearly while partying with the guys on his birthday.  And also, don't badmouth the cheerleader at the next table if you do!  Joe Mixon has probably lost out even before he started.  If he is found innocent, there will be those that insist it was because he was an athlete.  If he is found guilty, there will be those who claim it was because he is black.  The promising college football career is most likely nipped in the bud.

Sunday, July 27, 2014

Special Needs

Today I the top cards were three queens, four, ten, seven and nine. (12 12 12 4 10 7 9).  My first response was to discard the queens for the sequence following them: 4-10-7-9.  I immediately thought that might be a Biblical reference.  Numbers 10:7-9 records God's command concerning trumpet calls - one to worship and the other to battle.  The call to worship and the call to battle remind the people of God that He is near whenever He is needed.  John 10:7-9 records Jesus' words "I am the door of the sheep," and what that means to the flock.  Both passages are reminders that our God is here with us.

With that, I should just post and be done with it. But alas, I'm "hooked" for a while on the random number thing.  So, here goes with "1212":

The Atlanta Zoo has set up a live feed camera to watch the pandas -- the PandaCam!  Click on the link to watch the pandas Live.  The page is designated "1212," so you get this link!  Enjoy.

Finally, another link to Autism: the July & Michael Tracy Family Foundation.  Their Urban Autism Solutions has "Project 1212" that opened June 6, 2014 in Chicago.  From the website:

It is designed to have a secure, nurturing environment. While it will have a family-like staff, it isn’t intended to function as a “container.” On the contrary, it’s a vibrant community-within-a-community. The specific autism friendly design includes a combination of public and private spaces. 
This is a residential group home for autistic individuals with a full-time staff. Though I would prefer solutions that work around the home, I can see where a need is out there for such a facility in most communities.


Saturday, July 26, 2014

Traffic Control

I just noticed I had not hit "Publish" on this one (Thursday!)

I decided to at least do the random number experiment for a week.  Today, the solitaire hand starts out like this: Ace, nine, queen, king, queen, king and five.  In numbers that is: 1 9 12 13 12 13 5.  Combining where I can, I get  "19 1213 1213 5."

Well, with the placement of queens and kings TWICE in the cards, I would go with 1213 as the "number of the day."  Near the top of the Google search I found the non-profit Christian relief organization '1213,' based on Romans 12:13: "Distributing to the necessity of saints; given to hospitality."

This verse is in the midst of commands given by Paul to the church at Rome years before he visited there.  The chapter begins with a call to holiness and service, moving on to practical instructions on how to make that happen.  Verse 4 reminds Christians that they are "members in one body," each with separate functions.  Since love is sincere and without hypocrisy (verse 9), it is seen in acts of kindness in times of need.

Visit this worthy ministry at for more information.

Next, in an oddly related field on the microscopic level, there is Gene 1213, CLTC (clathrin, heavy chain [human]).  Also known as CHC or CHC17, this is a "major protein component ... involved in intracellular trafficking ..."  In other words, CLTC is necessary to get the microscopic machines within the cells to their proper work spaces.  It is like a GPS on the dash of the utility vehicles of the cell.

I say "oddly related" because this is the function of the 1213 ministry, directing funds to people in need.  They serve as an auxiliary source when times get really hard.  They are a support system of the body of Christ just as CLTC is to the microcosm which is found within the cell.  Find out more about CLTC here  and here.

There you go, folks.  Remember that you have a part to play in the macrocosm which is the world around you.  If you are a Christian, that means to seek to know and use the gift(s) given to you by God.  That example, of course, works in the world around us as well.  As the saying goes, "we are all connected."

North, South Carolina and other stuff

Today my wife and I headed south to find North.  North, South Carolina, that is!  Since the co-ordinates are 33°37' North and 81°6' West, I chose 3337 today.

Gene 3337 of the human genome encodes the "heat shock protein" which regulates cellular processes by aiding in folding, transport and assembly of cell structures.  Apparently there is a tremendous amount of work going on at a molecular level and this gene works as a thermostat.

The other significant 3337 goes from microscopic to hands on science, introducing us to the *FIRST Robotic Competition, team 3337 from Woodlawn High School in Baton Rouge Louisiana.  Here is a paragraph from the "Panthrobotics" website:

 Panthrobotics, FRC Team #3337,  is a multicultural team of students who are bringing a passion for math, science, engineering and computing to our school and community by participating in yearly FIRST® Robotics competitions. Each year we work with a talented group of mentors, generous sponsors, and excited students to build a robot from scratch within a defined six-week time period, compete with that robot, and then take it with us to demonstrations and other events throughout our  community.

[* FIRST is a registered acronym for "For Inspiration and Recognition of Science and Technology."]

Back to North, SC.  We came in from the northwest, basically east by southeast, having started at about 35 degrees North, in Greenville, SC.  North is therefore Southeast of us.  We came took a picture of the sign on the west side of town, turned up Main Street (North-South axis) and headed home on a mostly Northern route.

As a point of reference for Americans, 33°37' North is parallel to just south of Myrtle Beach, SC; just south of Atlanta, GA; just north of Birmingham, AL; West Point, MS; Warren, AR; Paris, TX; just north of Roswell, NM; Surprise, AZ; and Newport Beach, CA.  North is the only town at 33°37' North that will experience the total solar eclipse August 21, 2017. It will have 2 minutes, 22.3 seconds of totality.

Nouth is about 50 miles due north of Hampton, SC. It is also due north of Savanah, GA; Ormand Beach, Daytona Beach and Marathon, Florida.  However, North is due south of Woodford, Swansea, Gaston, Pine Ridge, Springdale, St. Andrews, Winnsboro and Newport in South Carolina alone!  Also north of North are at least three towns in North Carolina, one in West Virginia an two in Ohio.  Mr. North confused a lot of map makers when he agreed to have the town named after him.