22.2.14

Topic index: critical thinking - The Skeptic's Dictionary - Skepdic.com



Topic index: critical thinking - The Skeptic's Dictionary - Skepdic.com





A

ad hoc hypothesis

ad hominem

ad populum fallacy

affect bias

affirming the consequent

anchoring effect

apophenia

appeal to authority

appeal to tradition

argument to ignorance

autokinetic effect

availability error

B

Barnum effect

backfire effect

begging the question

C

change blindness

Clever Hans phenomenon

clever Linda phenomenon

clustering illusion

cognitive dissonance

coincidence

cold reading

communal reinforcement

conditioning

confabulation

confirmation bias

continued influence effect

control group study

D

debiasing

deduction

denying the antecedent

divine fallacy

E

evaluating evidence

F

face on Mars

fallacies

file-drawer effect

false dichotomy

false implication

false memory

Forer effect

G

gambler's fallacy

H

hidden persuaders

hindsight bias

hypersensory perception

I

ideomotor effect

ignorance as a hindrance to critical thinking

inattentional blindness

induction

infrasound

L

law of truly large numbers

Littlewood's law of miracles

M

magical thinking

memory

motivated reasoning

N

nasty effect

nonfalsifiability

non sequitur

O

Occam's razor

opinions

P

pareidolia

perception deception

placebo effect

positive-outcome bias

post hoc reasoning

pragmatic fallacy

proportionality bias

R

recency bias

regressive fallacy

replication

replication revisited

representativeness error

retrospective falsification

S

selection bias

selective thinking

self-deception

shoehorning

single-cause bias/fallacy/illusion

straw man fallacy

subjective validation

subliminal

sunk-cost fallacy

suppressed evidence

T

testimonials (anecdotal evidence)

Texas-sharpshooter fallacy

V

validity

W

Wason Card Problem

wishful thinking

Last updated 14-Jan-2014




See
also


blogs
Unnatural Acts that can improve your thinking: postings about cognitive biases, logical fallacies, and illusions.
Click here for an alphabetical index of postings so far.

Skeptimedia

essays


Presentation on Teaching Critical Thinking
Teaching Critical
Thinking


(html version) (click here for pdf
version)


- expanded commentary from my CT workshop presentation at The
Amazing Meeting V


- Available on DVD






Free downloads of chapters from my textbook on Critical thinking, Becoming a Critical Thinker, 2nd ed.


Chapter One,
Critical Thinking





Chapter Two:
Language and Critical Thinking





Chapter Three:
Sources



Chapter Seven: Sampling and Analogical Reasoning




Chapter Eight: Causal reasoning


Chapter Nine: Science and Pseudoscience



Answers to selected exercises


For Teachers

Using The Skeptic's Dictionary for courses in

book
reviews





The Invisible Gorilla: And Other Ways Our Intuitions Deceive Us
by Christopher
Chabris and Daniel Simons (Crown 2010)


How
Doctors Think


by Jerome Groopman, M.D. (Houghton Mifflin 2007)




The
Power of Persuasion - How We're Bought and Sold


by Robert Levine (John Wiley & Sons 2003),

Don't
Get Taken! - Bunco and Bunkum Exposed - How to Protect Yourself



by Robert A. Steiner (Wide-Awake Books 1989), and

The
Full Facts Book of Cold Reading
(third edition)


by Ian Rowland (Ian Rowland Limited 2002).


Searching
for Memory - the brain, the mind, and the past


by Daniel L. Schacter (Basic Books 1996).

The End of Materialism: How Evidence of the Paranormal is Bringing Science and Spirit Together by Charles T. Tart, Ph.D. (New Harbinger 2009)


The Afterlife Experiments: Breakthrough Scientific Evidence of Life After Death by Gary Schwartz (Atria 2003)


Entangled Minds: Extrasensory Experiences in a Quantum Reality by Dean Radin (Paraview Pocket Books 2006)


The Conscious Universe: The Scientific Truth of Psychic Phenomena by Dean Radin (HarperOne 1997)


Ghost Hunters - William James and the Hunt for Scientific Proof of Life After Death by Deborah Blum (Penguin Press 2006).



further reading



14.2.14

10 Problems With How We Think | Experts' Corner | Big Think

10 Problems With How We Think | Experts' Corner | Big Think



February 12, 2014, 12:00 AM

Shutterstock_152290286


By nature, human beings are illogical and irrational. For most
of our existence, survival meant thinking quickly, not methodically.
Making a life-saving decision was more important than making a 100%
accurate one, so the human brain developed an array of mental shortcuts.




Though not as necessary as they once were, these shortcuts -- called
cognitive biases or heuristics -- are numerous and innate. Pervasive,
they affect almost everything we do, from the choice of what to wear, to
judgments of moral character, to how we vote in presidential elections.
We can never totally escape them, but we can be more aware of them,
and, just maybe, take efforts to minimize their influence.


Ross Pomeroy summarizes ten widespread faults with human thought at Real Clear Science. You can read the original here. 




1. Sunk Cost Fallacy




Thousands of graduate students know this fallacy all too well. When
we invest time, money, or effort into something, we don't like to see
that investment go to waste, even if the task, object, or goal is no
longer worth the cost. As Nobel Prize winning psychologistDaniel Kahneman explains, "We refuse to cut losses when doing so would admit failure, we are biased against actions that could lead to regret."


That's why people finish their overpriced restaurant
meal even when they're stuffed to the brim, or continue to watch that
horrible television show they don't even like anymore, or remain in a
dysfunctional relationship, or soldier through grad school even when
they decide that they hate their chosen major.




2. Conjunction Fallacy




Sit back, relax, and read about Linda:


Linda is thirty-one years old, single, outspoken, and very bright.
She majored in philosophy. As a student, she was deeply concerned with
issues of discrimination and social justice, and also participated in
antinuclear demonstrations.




Now, which alternative is more probable?


1. Linda is a bank teller, or


2. Linda is a bank teller and is active in the feminist movement.









If you selected the latter, you've just blatantly defied logic. But
it's okay, about 85 to 90 percent of people make the same mistake. The
mental sin you've committed is known as a conjunction fallacy. Think
about it: it can't possibly be more likely for Linda to be a bank teller
and a feminist compared to just a bank teller. If you answered that she
was a bank teller, she could still be a feminist, or a whole heap of
other possibilities.




A great way to realize the error in thought is to simply look at a
Venn diagram. Label one circle as "bank teller" and the other as
"feminist." Notice that the area where the circles overlap is always
going to be smaller!




3. Anchoring




Renowned psychologists Amos Tversky and Daniel Kahneman once rigged a
wheel of fortune, just like you'd see on the game show. Though labeled
with values from 0 to 100, it would only stop at 10 or 65. As an
experiment, they had unknowing participants spin the wheel and then
answer a two-part question:




Is the percentage of African nations among UN members larger or
smaller than the number you just wrote? What is your best guess of the
percentage of African nations in the UN?




Kahneman described what happened next in his book Thinking, Fast and Slow:


The spin of a wheel of fortune... cannot possibly yield any useful
information about anything, and the participants... should have simply
ignored it. But they did not ignore it.




The participants who saw the number 10 on the wheel estimated the
percentage of African nations in the UN at 25%, while those who saw 65
gave a much higher estimate, 45%. Participants' answers were "anchored" by
the numbers they saw, and they didn't even realize it! Any piece of
information, however inconsequential, can affect subsequent assessments
or decisions. That's why it's in a car dealer's best interest to keep
list prices high, because ultimately, they'll earn more money, and when
you negotiate down, you'll still think you're getting a good deal!




4. Availability Heuristic




When confronted with a decision, humans regularly make judgments
based on recent events or information that can be easily recalled. This
is known as the availability heuristic.




Says Kahneman,
"The availability heuristic... substitutes one question for another:
you wish to estimate... the frequency of an event, but you report the
impression of ease with which instances come to mind."




Cable news provides plenty of fodder for this mental shortcut. For example, viewers ofEntertainment Tonight probably think that celebrities divorce each other once every minute. The actual numbers are more complicated, and far less exorbitant.




It's important to be cognizant of the availability heuristic because
it can lead to poor decisions. In the wake of the tragic events of 9/11,
with horrific images of burning buildings and broken rubble fresh in
their minds, politicians quickly voted to implement invasive policies to
make us safer, such as domestic surveillance and more rigorous airport
security. We've been dealing with, and griping about, the results of
those actions ever since. Were they truly justified? Did we fall victim
to the availability heuristic?




5. Optimism Bias




"It won't happen to me" isn't merely a cultural trope. Individuals
are naturally biased to thinking that they are less at risk of something
bad happening to them compared to others. The effect, termed optimism bias,
has been demonstrated in studies across a wide range of groups. Smokers
believe they are less likely to develop lung cancer than other smokers,
traders believe they are less likely to lose money than their peers,
and everyday people believe they are less at risk of being victimized in
a crime.




Optimism bias particularly factors into matters of health(PDF), prompting individuals to neglect salubrious behaviors like exercise, regular visits to the doctor, and condom use.




6. Gambler's Fallacy




On August 13, 1918, during a game of roulette at the Monte Carlo
Casino, the ball fell on black 26 times in a row. In the wake of the
streak, gamblers lost millions of francs betting against black. They
assumed, quite fallaciously, that the streak was caused by an imbalance
of randomness in the wheel, and that Nature would correct for the
mistake.




No mistake was made, of course. Past random events in no way affect future ones, yet people regularly intuit(PDF) that they do.




7. Herd Mentality




We humans are social creatures by nature. The innate
desire to be a "part of the group" often outweighs any considerations of
well being and leads to flawed decision-making. 
For a great example,
look no further than the stock market. When indexes start to tip,
panicked investors frantically begin selling, sending stocks even lower,
which, in turn, further exacerbates the selling. Herd mentality also
spawns cultural fads. In the back of their minds, pretty much everybody
knew that 
pet rocks were a waste of money, but lots of people still bought them anyway.





8. Halo Effect




The halo effect is a cognitive bias in which we judge a person's character based upon our rapid, and often oversimplified, impressions of him or her. The workplace is a haven -- more an asylum -- for this sort of faulty thinking.




"The halo effect is probably the most common bias in performance appraisal," researchers wrote in the journal Applied Social Psychology in 2012. The article goes on:


Think about what happens when a supervisor evaluates the performance
of a subordinate. The supervisor may give prominence to a single
characteristic of the employee, such as enthusiasm, and allow the entire
evaluation to be colored by how he or she judges the employee on that
one characteristic. Even though the employee may lack the requisite
knowledge or ability to perform the job successfully, if the employee's
work shows enthusiasm, the supervisor may very well give him or her a
higher performance rating than is justified by knowledge or ability.


9. Confirmation Bias




Confirmation bias is
the tendency of people to favor information that confirms their
beliefs. Even those who avow complete and total open-mindedness are not
immune. This bias manifests in many ways. When sifting through evidence,
individuals tend to value anything that agrees with them -- no matter
how inconsequential -- and instantly discount that which doesn't. They
also interpret ambiguous information as supporting their beliefs.




Hearing or reading information that backs our beliefs feels good, and
so we often seek it out. A great many liberal-minded individuals treat
Rachel Maddow or Bill Maher's words as gospel. At the same time, tons of
conservatives flock to Fox News and absorb almost everything said
without a hint of skepticism.




One place where it's absolutely vital to be aware of confirmation
bias is in criminal investigation. All too often, when investigators
have a suspect, they selectively search for, or erroneously interpret,
information that "proves" the person's guilt.




Though you may not realize it, confirmation bias also pervades your
life. Ever searched Google for an answer to a controversial question?
When the results come in after a query, don't you click first on the
result whose title or summary backs your hypothesis?




10. Discounting Delayed Rewards




If offered $50 today or $100 in a year, most people take the money and run,
even though it's technically against their best interests. However, if
offered $50 in five years or $100 in six years, almost everybody chooses
the $100! When confronted with low-hanging fruit in the Tree of Life,
most humans cannot resist plucking it.




This is best summed up by the Ainslie-Rachlin Law,
which states, "Our decisions... are guided by the perceived values at
the moment of the decision - not by the potential final value."


Image courtesy of Shutterstock





More from the Big Idea for Wednesday, February 12 2014


Cognitive Bias



Being smart doesn't mean you aren't just as vulnerable to a wide
array of biases and fallacies. So learn to recognize them. 
In today's lesson, Ross Pomeroy helps us to do just that, by walking...

Read More…



R_pomeroy

What is the Difference between a Sage and a Philosopher?

February 13, 2014, 1:25 PM
Shutterstock_167087216
A philosopher is a wise man distinguished for wisdom and
sound judgement while a sage is a wise man distinguished for wisdom and
from experience.


Home 



The philosophers   



Philosophy is concerned with fundamental problems regarding
existence, values, mind, language, etc., by a critical, systematic
approach that relies on logical argument and reason. Academic
philosophy, on the other hand, is distinguished from the activity
philosophizing by a pre-set of technical terms and pre-existing
concepts, curriculum, and methodology that take years of study to
internalize. [...]

The philosophical approach to thinking ideally leads to system building.
Besides, only the creators of the most memorable philosophical
systems – Immanuel Kant, David Hume, Georg W. F. Hegel, Karl Marx, for
example – are remembered as great philosophers. Yet, none of the great philosophers’ great philosophical systems – all purely intellectual inventions (we say: Vorstellungen or representations), no doubt – seemed to have passed the test of time.



New philosophical systems come and go, and – as a rule – the most
easily impressionable students who take any of them too serious and as a
matter-of-fact run into the dangers of growing up as pungent and
intolerant followers of another man’s intellectual fantasies.



The sages

In his essay 'Thinkers and Philosophers', the linguistic sage Ji Xianlin compared philosophers to other great scholars, “thinkers”, and observed the following:



"Thinkers I have in mind are not like that. They may
have their own views on the things I just mentioned. However, they would
never engage in any system-building nor engage in its cumbersome
analysis. [...] Nor do they write obscure texts, and much less do they
dream up a philosophical system. What they write down is moderate,
peaceful, and non-pretending, and everyone understands their thought.
After reading it, our eyes shine bright and blister, our minds are clear
and free of confusion, and we realize: Yes, this is how things truly
are."




A sage can do philosophy, but not every philosopher is a sage. A sage practices sagehood, which is linked to self-cultivation and
the striving for balance, harmoniousness, and human perfection. A
sage’s thinking is concerned with the relationship of himself with other
human beings, and the relationship of human beings with the greater
order of all things. Here is a striking definition given by Robert C.
Neville:



"Sages understand memories and expectations, guilt and
frustrations, joys and sorrows, suffering, pain, triumph, ecstasy,
nobility, depravity, honor, degradation, sincerity, mendacity, stress
and release. They understand the combinations and ambiguities of these
in the lives of persons and in the affairs of peoples, and their
understanding allow them so to follow the trail of what is important
through the underbrush of triviality that they cleave to what is
essential. Sages are those who understand people. What people? Anyone.
[…] Sages must live from long experience, not from intuitive
encounters."




Philosopher vs sages

“Judgment”, according to Immanuel Kant, the father of German rationality, is subjective universality.
It means: “being indifferent to the existence of the object”. As a
result of that indifference, the philosopher’s judgments will be
(ideally) “free from interest and inclinations”. A philosopher does not
need to connect to anything or anyone, nor does he have to be a
morally good person (as saints do) or prove himself a worthy member of
the community (as sages do). Not the philosopher’s person or moral
character is idolized; his merits rest solely on the novelty and
challenge of the argument he presented.

The ancient Greeks thought of a philosopher as an eternal seeker of wisdom:
someone who always searches the truth, comes close to it, but
ultimately cannot attain perfect wisdom. That was reserved for the gods.
As opposed to a philosopher, the sage (or “sophos”) in ancient Greece
was considered the bearer of wisdom: someone who already possessed wisdom and only needed to self-actualize himself.



Plato was proud to be a philosopher. He argued that a sage or
“sophos” by definition was impartial to the joys of truth seeking,
because a sophos claimed he already possessed that wisdom. [...] Sages
were light, and Plato could not take light. He preferred the law. Only
the eternal condemnation to searching the truth was true love.
Consequently, Greek philosophers developed an aversion to sages and their perceived hypocrisies, their sagacity.



The triumph of the philosophers...

In The Sophist (c. 360 BC) and The Republic (c. 380
BC), Plato described the sophos as having a false sense of divine
inspiration and suffering from a delusion about their own mythical
status. Plato further ascribed to the sage a highly manipulative character and
an erroneous belief in human supernatural and esoteric powers. From the
philosopher’s point of view, the sages did not seek nor did they really
care much about the truth; all the sages thought and cared about was,
allegedly, their status, power, and influence. Like a
false prophet who seeks an elevated place from where he could air his
false views and propagate his erroneous teachings.



... marked the end for the sages

More than two thousand years have passed in Europe since Plato and the triumph of the philosophers over the sages. Not even Jesus Christ himself dared to call himself a sage; he could not! Highest wisdom was now with God. In the New Testament,
The Book of James 3:17-18, we read: “Contrasting the false wisdom is
true wisdom – Wisdom from God. God’s wisdom is pure, peace-loving,
considerate, submissive, full of mercy and good fruit, impartial, and
sincere.” False wisdom, on the other hand, is that of the mere people,
human wisdom. Finally, the Western Enlightenment and all rational
academies schooled sagacity out of the European minds, and made the
sages become obsolete and a relic of the past.



Image credit: Laurin Rinder/Shutterstock.com



This is a condensed version of a chapter on 'Philosophers and Sages' from the manuscript Shengren. In the next post, we shall have a look at 'saints' - another great archetype of wisdom.

To keep up to date with this blog you can follow me on Twitter, RSS, my Website, or my other Blog.

18.1.14

Buddha Quotes : Sources of Insight

Buddha Quotes : Sources of Insight

Buddha Quotes

image
You’ve probably come across several quotes attributed to Buddha over the years. I’ve always enjoyed the precision, profoundness, and pragmatism of his quotes.

His words of wisdom have stood the test of time on a number of broad topics.   For this collection of Buddha quotes, I’ve arranged them by key themes including: Action, Anger, Fear, Health, Life, Love, Mind, Personal Development, Self-Reliance, Speech, and Truth.

As you read through the quotes, see if his words, inspire new insight or echo your experience, or challenge your beliefs in some new way.

(Note — If you’re looking for more inspiration, check out my book on Getting Results the Agile Way!  It helps you think, feel, and be your best.)

Top 10 Buddha Quotes

  1. “Do not dwell in the past, do not dream of the future, concentrate the mind on the present moment.”
  2. “It is better to conquer yourself than to win a thousand battles. Then the victory is yours. It cannot be taken from you, not by angels or by demons, heaven or hell.”
  3. “It is better to travel well than to arrive.”
  4. “Peace comes from within. Do not seek it without.”
  5. “The only real failure in life is not to be true to the best one knows.”
  6. “The way is not in the sky. The way is in the heart.”
  7. “There is nothing more dreadful than the habit of doubt. Doubt separates people. It is a poison that disintegrates friendships and breaks up pleasant relations. It is a thorn that irritates and hurts; it is a sword that kills.”
  8. “Thousands of candles can be lighted from a single candle, and the life of the candle will not be shortened. Happiness never decreases by being shared.”
  9. “We are what we think. All that we are arises with our thoughts. With our thoughts, we make the world.”
  10. “What we think, we become.“

Action

  • “A jug fills drop by drop.”
  • “An idea that is developed and put into action is more important than an idea that exists only as an idea.”
  • “Chaos is inherent in all compounded things. Strive on with diligence.”
  • “Holding on to anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burned.”
  • “However many holy words you read, however many you speak, what good will they do you if you do not act on upon them?”
  • “I do not believe in a fate that falls on men however they act; but I do believe in a fate that falls on them unless they act.”
  • “I never see what has been done; I only see what remains to be done.”
  • “To be idle is a short road to death and to be diligent is a way of life; foolish people are idle, wise people are diligent.”

Anger, Forgiveness, and Compassion

  • “Hatred does not cease through hatred at any time. Hatred ceases through love. This is an unalterable law.”
  • “Have compassion for all beings, rich and poor alike; each has their suffering. Some suffer too much, others too little.”
  • “In a controversy the instant we feel anger we have already ceased striving for the truth, and have begun striving for ourselves.”
  • “Teach this triple truth to all: A generous heart, kind speech, and a life of service and compassion are the things which renew humanity.”
  • “To understand everything is to forgive everything.”
  • “You will not be punished for your anger, you will be punished by your anger.”

Fear

  • “Even death is not to be feared by one who has lived wisely.”
  • “The whole secret of existence is to have no fear. Never fear what will become of you, depend on no one. Only the moment you reject all help are you freed.”
  • “When one has the feeling of dislike for evil, when one feels tranquil, one finds pleasure in listening to good teachings; when one has these feelings and appreciates them, one is free of fear.”

Health

  • “Every human being is the author of his own health or disease.”
  • “Health is the greatest gift, contentment the greatest wealth, faithfulness the best relationship.”
  • “The secret of health for both mind and body is not to mourn for the past, worry about the future, or anticipate troubles, but to live in the present moment wisely and earnestly.”
  • “To enjoy good health, to bring true happiness to one’s family, to bring peace to all, one must first discipline and control one’s own mind. If a man can control his mind he can find the way to Enlightenment, and all wisdom and virtue will naturally come to him.”
  • “To keep the body in good health is a duty … otherwise we shall not be able to keep our mind strong and clear.”
  • “Without health life is not life; it is only a state of languor and suffering an image of death.”

Life and Living

  • “He who experiences the unity of life sees his own Self in all beings, and all beings in his own Self, and looks on everything with an impartial eye.”
  • “Just as a candle cannot burn without fire, men cannot live without a spiritual life.”
  • “Just as treasures are uncovered from the earth, so virtue appears from good deeds, and wisdom appears from a pure and peaceful mind. To walk safely through the maze of human life, one needs the light of wisdom and the guidance of virtue.”
  • “Life is suffering.”
  • “On life’s journey faith is nourishment, virtuous deeds are a shelter, wisdom is the light by day and right mindfulness is the protection by night. If a man lives a pure life, nothing can destroy him.”
  • “The foot feels the foot when it feels the ground.”
  • “There has to be evil so that good can prove its purity above it.”
  • “To live a pure unselfish life, one must count nothing as one’s own in the midst of abundance.”
  • “When you realize how perfect everything is you will tilt your head back and laugh at the sky.”
  • “You cannot travel the path until you have become the path itself.”
  • “Your work is to discover your work and then with all your heart to give yourself to it.”

Love, Connection, and Unity

  • “All things appear and disappear because of the concurrence of causes and conditions. Nothing ever exists entirely alone; everything is in relation to everything else.”
  • “Ambition is like love, impatient both of delays and rivals.”
  • “He who loves 50 people has 50 woes; he who loves no one has no woes.”
  • “Unity can only be manifested by the Binary. Unity itself and the idea of Unity are already two.”
  • “You can search throughout the entire universe for someone who is more deserving of your love and affection than you are yourself, and that person is not to be found anywhere. You yourself, as much as anybody in the entire universe deserve your love and affection.”
  • “You, yourself, as much as anybody in the entire universe, deserve your love and affection.”

Mind, Thought, and Thinking

  • “All wrong-doing arises because of mind. If mind is transformed can wrong-doing remain?”
  • “An insincere and evil friend is more to be feared than a wild beast; a wild beast may wound your body, but an evil friend will wound your mind.”
  • “Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense.”
  • “He is able who thinks he is able.”
  • “It is a man’s own mind, not his enemy or foe, that lures him to evil ways.”
  • “The mind is everything. What you think you become.”
  • “Those who are free of resentful thoughts surely find peace.”
  • “We are what we think. All that we are arises with our thoughts. With our thoughts, we make the world.”

Personal Development

  • “Do not overrate what you have received, nor envy others. He who envies others does not obtain peace of mind.”
  • “The virtues, like the Muses, are always seen in groups. A good principle was never found solitary in any breast.”
  • “To conquer oneself is a greater task than conquering others.”
  • “Virtue is persecuted more by the wicked than it is loved by the good.”
  • “We are shaped by our thoughts; we become what we think. When the mind is pure, joy follows like a shadow that never leaves.”

Self-Reliance

  • “No one saves us but ourselves. No one can and no one may. We ourselves must walk the path.”
  • “Work out your own salvation. Do not depend on others.”

Speech

  • “A dog is not considered a good dog because he is a good barker. A man is not considered a good man because he is a good talker.”
  • “Better than a thousand hollow words, is one word that brings peace.”
  • “The tongue like a sharp knife … Kills without drawing blood.”
  • “The wise ones fashioned speech with their thought, sifting it as grain is sifted through a sieve.”
  • “Whatever words we utter should be chosen with care for people will hear them and be influenced by them for good or ill.”

Truth

  • “In the sky, there is no distinction of east and west; people create distinctions out of their own minds and then believe them to be true.”
  • “There are only two mistakes one can make along the road to truth; not going all the way, and not starting.”
  • “Three things cannot be long hidden: the sun, the moon, and the truth.”
Looking for more inspiration? Read my book on Getting Results!

14.1.14

Quotes About Democracy (552 quotes)

Quotes About Democracy (552 quotes)

Isaac Asimov

“There is a cult of ignorance in the United States, and there has always been. The strain of anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that "my ignorance is just as good as your knowledge.”
― Isaac Asimov

8.1.14

Propositional calculus - Wikipedia

Propositional calculus - Wikipedia, the free encyclopedia

In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted to represent propositions. A system of inference rules and axioms allows certain formulas to be derived. These derived formulas are called theorems and may be interpreted to be true propositions. Such a constructed sequence of formulas is known as a derivation or proof and the last formula of the sequence is the theorem. The derivation may be interpreted as proof of the proposition represented by the theorem.
Usually in Truth-functional propositional logic, formulas are interpreted as having either a truth value of true or a truth value of false.[clarification needed] Truth-functional propositional logic and systems isomorphic to it, are considered to be zeroth-order logic.