Developmental psychologist Jean Piaget argued that children develop abstract reasoning skills as part of their last stage of development, known as the formal operational stage. This stage occurs between the ages of 11 and 16. However, the beginnings of abstract reasoning may be present earlier, and gifted children frequently develop abstract reasoning at an earlier age.
The Goldstein-Scheerer Tests of Abstract and Concrete Thinking are used to determine whether a patient can or cannot assume an abstract attitude and identify the specific type of concreteness to which s/he is confined.
I do not know if any researchers have tested the Goldstein-Scheerer hypothesis with the Prisoner's Dilemma:
The prisoner's dilemma is a standard example of a game analyzed in game theory that shows why two completely rational individuals might not cooperate, even if it appears that it is in their best interests to do so.
I apply 'thought experiments' to discern sociological conventions upon our Federal level policy of the 13th amendment at this article:
Many of these 'terms' as 'Lucifer effect' were developed by professionals from previous decades.
There is a saying, alternately attributed to Buddha Siddhartha Guatama Shakyamuni and the Theosophists, that goes: When the student is ready, the teacher will appear.
The word taxing may be applied as far as emotionally or spiritually to some degree:
taxing
adjective: taxing
physically or mentally demanding.
Perhaps spiritually as well emotionally demanding, and in due consideration, intellectually demanding as far here in Dollars, Taxes, from the heart of Tejas tambien. Applying a Pauli–Lubanski pseudovector in guided imagery to research Pseudotensors, as taxing as it may seems may be. And, be that as it may...
Luke 18:9-14 New International Version (NIV)
The Parable of the Pharisee and the Tax Collector
9 To some who were confident of their own righteousness and looked down on everyone else, Jesus told this parable: 10 “Two men went up to the temple to pray, one a Pharisee and the other a tax collector. 11 The Pharisee stood by himself and prayed: ‘God, I thank you that I am not like other people—robbers, evildoers, adulterers—or even like this tax collector. 12 I fast twice a week and give a tenth of all I get.’
13 “But the tax collector stood at a distance. He would not even look up to heaven, but beat his breast and said, ‘God, have mercy on me, a sinner.’
14 “I tell you that this man, rather than the other, went home justified before God. For all those who exalt themselves will be humbled, and those who humble themselves will be exalted.”
Why do you look at the speck in your brother's eye?
Thou hypocrite, first cast out the beam out of thine own eye; ... You hypocrite! First remove the beam out of your own eye, and then you can see clearly to remove the speck out of your brother's eye.
The Glasgow effect: 'We die young here - but you just get on with it'
Mathew 7:5 is a funny companion for Heisenberg uncertainty principle in scientific due diligence theory testing as a pascal's wager for Saint Albert's sake:
What is the point of a Pascal's wager considering Schrodinger's cat or removing the Planck constant from your brother's eye before making a Heisenberg uncertainty principle office appointment with the Dean as if to make a killer academic thesis dissertation for graduate school as the proposition?
Pascal's Wager is an argument in philosophy presented by the seventeenth-century French philosopher, mathematician and physicist Blaise Pascal (1623–62). It posits that humans bet with their lives that God either exists or does not. For academic revolutions in Europe v. USA with access to the highest degrees of education for her citizens! Why may one generation kill the academic life as a cultural convention over thirty pieces of silver? Perhaps the European Marx graduate theater may have showings in Missouri-Texas, MU iCORE A&M teaming agreements.
Consider if you will, Einstein kept a copy of 'The Secret Doctrine' from Theosophy in his desk and is quoted as stating "God does not play dice" referring to this topic from the school of quantum mechanics recently mentioned.
Debye toroidal moment of surface plasmons as SBIR ESCO model
I honor the value of offering proofs of higher mathematics to deploy in computational physics and computational chemistry to model an experiment to develop theories and then move to the laboratory to test such models from 'thought experiments'.
It is far and few of hearts and minds whom may comprehend as well be compassionate concerning articulating of trigonometric arguments in differential calculus as well other schools of higher mathematics, physics and or chemistry as to propose legitimate research as to discern indeed a legitimate discovery. Indeed 'agism' affects the Fields Medal as the limit is 40 years of age to win such a prestigious mathematical award.
Morris William Hirsch (born June 28, 1933) is an American mathematician, formerly at the University of California, Berkeley.
A native of Chicago, Illinois, Hirsch attained his doctorate from the University of Chicago in 1958, under supervision of Edwin Spanier and Stephen Smale. His thesis was entitled Immersions of Manifolds. In 2012 he became a fellow of the American Mathematical Society.
Hirsch had 23 doctoral students, including William Thurston, William Goldman, and Mary Lou Zeeman.
Before the Committee on Environment and Public Works
United States Senate Oversight Hearing on
Cleanup Efforts at Federal Facilities
Statement of Daniel Hirsch, President Committee to Bridge the Gap
Washington, D.C. 18 September 2008
God bless our teachers of our world as well students, each heart and mind.
Fox v. Rothschild 21 Century banking