MindMap Gallery logical thinking
This is a mind map about logical thinking. Logical thinking, as an important way of thinking, is the key ability for humans to understand the world, understand problems, and solve problems. It emphasizes deriving new conclusions or judgments from known information through rational analysis and reasoning, thereby helping us better understand complex things and phenomena and make wise decisions.
Edited at 2024-11-02 22:05:51This is a mind map about the annual work plan of the three pillars of human resources. The main contents include: strategic human resources planning, talent recruitment and allocation, employee performance management, employee training and development, employee relationships and communication, employee welfare and care, human resources information system construction, regulatory compliance and risk management, and organizational culture construction.
This is a mind map for the diagnosis and treatment of acute cerebral hemorrhage in patients with hemodialysis. The annual incidence of acute cerebral hemorrhage in patients with hemodialysis is (3.0~10.3)/1000, and the main cause is hypertension. Compared with non-dialysis patients, the most common bleeding site is the basal ganglia area, accounting for 50% to 80%; but the bleeding volume is large and the prognosis is poor, and the mortality rate is 27% to 83%. Especially for patients with hematoma >50ml, hematoma enlarged or ventricular hemorrhage on the second day after onset, the prognosis is very poor.
The logic is clear and the content is rich, covering many aspects of the information technology field. Provides a clear framework and guidance for learning and improving information technology capabilities.
This is a mind map about the annual work plan of the three pillars of human resources. The main contents include: strategic human resources planning, talent recruitment and allocation, employee performance management, employee training and development, employee relationships and communication, employee welfare and care, human resources information system construction, regulatory compliance and risk management, and organizational culture construction.
This is a mind map for the diagnosis and treatment of acute cerebral hemorrhage in patients with hemodialysis. The annual incidence of acute cerebral hemorrhage in patients with hemodialysis is (3.0~10.3)/1000, and the main cause is hypertension. Compared with non-dialysis patients, the most common bleeding site is the basal ganglia area, accounting for 50% to 80%; but the bleeding volume is large and the prognosis is poor, and the mortality rate is 27% to 83%. Especially for patients with hematoma >50ml, hematoma enlarged or ventricular hemorrhage on the second day after onset, the prognosis is very poor.
The logic is clear and the content is rich, covering many aspects of the information technology field. Provides a clear framework and guidance for learning and improving information technology capabilities.
logical thinking
The great power of logical thinking
Logic belongs to the science of fame and dialectics in the pre-Qin period and the science of enlightenment in ancient India.
Thinking: It is a process of conceptual cognition, judgment, and reasoning.
Logical thinking: On the basis of thinking, abide by logical rules, use logical methods, reflect the rational cognitive process of objective reality, and distinguish between true and false, right and wrong.
Logical judgment: All M are P, all S are M, so all S are P
Logical thinking is of great significance to the training of human thinking methods. It can deduce that many opinions cannot withstand scrutiny.
conceptual thinking
Concept: What is this thing?
Natural phenomena: sun, moon, mountains, rivers, rain, snow, wind
Everyday objects: tables, plates, cups, umbrellas, gloves
Mental phenomena: psychology, consciousness, thoughts, feelings, sadness, happiness
Understanding of concepts is divided into
Perceptual understanding: Snow is solid precipitation formed by the polymerization of oil ice crystals
Rational understanding: Snow is a kind of white falling in winter, light and beautiful like flowers.
The understanding of things first comes from the perceptual knowledge brought by the senses, and then the rational knowledge brought by the objective explanation
The connotation and denotation of concepts
Connotation: (commodity) is a product of labor used for exchange
Extension: The types of (commodities) specifically include mobile phones, computers, drinks, clothing, books, etc.
Types of concepts
Individual concepts (only one extension): Beijing, Seoul, Hawaii (city)... China, the United States, Russia (country)
Universal concepts (large number of denotations): escape, sing, exercise (verb)... lamp, water cup, student (noun)
Limited concept: countries (China, the United States, the United Kingdom...the number is limited)
Entity concept (independent existence): Forbidden City, Yangtze River, Beijing, Chongqing
Attribute concepts (reflecting the attributes of things): fair, brave, strong, kind, friendly, hostile, less than, equal to, containing, etc...
Positive concepts (affirmative nature, emphasis on presence): backward, beautiful, excellent, gentle, vicious, despicable, lazy, etc...
Negative concepts (negative nature, emphasis on nothing): unadvanced, improper, illegal, unjust, unscented, etc...
The concept of collection (two or more individuals combine to form a whole): The complete works of Lu Xun include collections of essays, novels, essays, poems, etc.
Non-collective concept (the collective reflects the individual): Our school’s singing team is all art students
relationship between concepts
Same relationship: Zhengzhou - the provincial capital of Henan
True inclusion relationship: (genus concept) novel and (species concept) Dream of Red Mansions
Truth is contained in relationships: (kind of concept) Dream of Red Mansions and (genus of concept) novels
Cross-relationships: young people (including students) and students (including young people)
Completely different relationships: good people and evil people (the denotation and connotation of the two do not overlap at all)
what is definition
Reveal the connotation of concepts and provide essential explanations and descriptions of things
Production relations (defined item) are social norms (defined item) established and recognized by the country (definition joint item)
Substantive definition: A horse is a mammal
Word definition: The six arts refer to etiquette, music, archery, chastity, calligraphy, and numeracy.
Definitions should generally be clear and concise, using affirmative sentence patterns and not vague. For example, it should not be said that it is very cold today, but it is not hot today.
Judgmental thinking
Make clear and true judgments about things, either affirmative or negative: He is not my friend. It is a sunny day today. Do not use questions: Is that your book? Some exclamatory sentences can be used: Drunk driving is prohibited
structural ambiguity
He saw the wrong person (one way is to express that he has bad eyesight and he has seen the wrong person, the other way is to express that he has recognized the wrong person).
Caring about the employees of the company (one is to express that employees care about the company, and the other is to express that they care about the employees in the company)
Imported cars (one expresses cars imported from abroad, the other expresses imported cars)
Blunt judgment (direct assertion)
All (quantitative terms) children (subject terms) are (associative terms) innocent (predicate terms)
It is composed of quantity term ➕ main term ➕ joint term ➕ predicate term
Relationship judgment (having or not having some kind of connection)
Zhang Ming and Li Ming are classmates
Chen Hong and Li Li are not colleagues
Conjunctive judgment (connecting two judgments)
She is young and beautiful
It is composed of couplets➕connectives➕logical forms
Sufficient condition hypothesis judgment (sufficient condition)
Only with the right time, right place, and right people can we win
Once the river embankment breaks, the consequences will be disastrous
Necessary condition hypothesis judgment (necessary condition)
Flowers will not bloom unless there is enough light
Only those who pass the physical examination can take the college entrance examination
deductive reasoning thinking
Infer new judgments from one or several known judgments
It is difficult for college students to find jobs nowadays, so some college students have not found jobs.
Zhang Lin likes all comedy movies. Garfield is a comedy movie, so Zhang Lin likes Garfield
Direct reasoning (presupposed by a judgment)
Zhuge Liang is the embodiment of wisdom, so Zhuge Liang is wise
Indirect reasoning (two or more judgments are the premise)
Arguments are one of the elements of argumentative essays, arguments are one of the elements of argumentative essays, and argumentation is also one of the elements of argumentative essays. Therefore, argumentative essays include three elements: arguments, arguments, and arguments.
simple judgment reasoning
A rhombus is a type of quadrilateral, and a square is a type of rhombus, so a square is a type of quadrilateral.
compound judgment reasoning
If the script is good, he will participate in it. If the script is good, he will participate in it.
deductive reasoning
Zhang Lin likes all comedy movies. Garfield is a comedy movie, so Zhang Lin likes Garfield
inductive reasoning
The Hakka dialect is represented by Meixian, Guangdong, the Fujian dialect is represented by Fuzhou dialect, and the Cantonese dialect is represented by Cantonese, so people in each dialect area have their own representative dialects.
reasoning by analogy
A rhombus has a set of adjacent sides that are equal, and its diagonals are perpendicular to each other and bisect each other. A square also has a set of adjacent sides that are equal, so the diagonals of a square are also perpendicular to each other and bisect.
Necessity reasoning
The premise implies the conclusion. If the premise is true, the conclusion must also be true.
probabilistic reasoning
The premise does not imply a clear conclusion: for example, each place has its own dialect. To sum up, there is no clear conclusion.
syllogism
Writers are all intellectuals (major premise), Qian Zhongshu is a writer (minor premise), so Qian Zhongshu is an intellectual (conclusion (Through two categorical judgments, a new judgment is introduced)
A syllogism can only be composed of the major term, the middle term, and the minor term. It cannot have four items. If there are too many items, it will be impossible to draw a conclusion.
The middle term must be distributed at least once in the premise. Distribution refers to determining the extension range and quantity of the subject and predicate.
Guessing and Deductive Reasoning
Reasoning based on guesswork, sometimes you can guess and judge based on experience, as a reference, but you should still insist on seeking truth from facts, guess, judge, and reason based on objective reality to reach reliable conclusions
inductive logical thinking
Inductive reasoning (deriving general knowledge from individual premises)
The Dream of Red Mansions is a novel, The Romance of the Three Kingdoms is a novel, The Water Margin is a novel, and Journey to the West is a novel. These four novels are the Four Great Classics of China, so the Four Great Classics of China are novels.
Chinese is the communication tool for Chinese people, English is the communication tool for Americans, and German is the most important communication tool for Germans. Therefore, language is the most important communication tool for human beings.
Complete inductive reasoning (inferring all from all the same individuals)
1➕100~101, 2➕99~101, 3➕98~101, it can be inferred that all such regular algorithms are equal to 101
Xiao Ming's average score is less than 80 points, Xiao Guang's average score is less than 80 points, and Xiao Hong's average score is less than 80 points. Xiao Ming, Xiao Hong, and Xiao Guang are all students in Class Three, so the average score of Class Three students is not to 80 minutes
incomplete inductive reasoning
Simple enumeration inductive reasoning (the reliability of the conclusion can be verified by finding counterexamples), or by increasing the number. The greater the number of examples, the higher the reliability, and it belongs to empirical reasoning.
Liquefaction will not change the properties of matter, vaporization will not change the properties of matter, and solidification will not change the properties of matter. Liquification, vaporization, and solidification are all physical reactions, and there are no different counterexamples, so physical reactions will not change the properties of matter.
Scientific inductive reasoning (speculating on the necessary connections between some objects)
The combination of 1 and a will produce new substances, the combination of 2 and a will produce new substances, the combination of 3 and a will produce new substances, so the combination of a and a will produce new substances.
reasoning by analogy
Positive analogy reasoning: Thing A has attribute abcd, thing B has attribute abc, so thing B also has attribute d
Anti-analogy reasoning: Thing A does not have the attribute abcd, and thing B does not have the attribute abc, so thing B does not have the attribute d.
Simulation analogy reasoning: In prototype A, attributes abc and d have an R relationship, and model B is designed to have attribute abc, so in model B, attributes abc and d also have an R relationship.
Probabilistic inductive reasoning (using the probability of occurrence of individual objects to deduce the probability of occurrence of all objects)
One is excellent, two is excellent, three is not excellent... One hundred is excellent, so the conclusion possibility is excellent
Statistical inductive reasoning (obtaining overall information by extracting a certain number of individuals/samples)
Similar to the probabilistic reasoning formula
scientific logical method
Describe facts and explain facts. The comprehensive application of scientific methods and logical methods, and the use of logical methods on a scientific basis to understand and reveal the laws and essence of objective things
Causal connection: The emergence of one party causes the emergence of the other party. One cause and one effect, one cause and multiple effects, multiple causes and one effect, multiple causes and multiple effects, interdependent, correctly grasp the causal relationship, and improve the predictability of the development of things.
The method of finding similarities (finding the same results when common conditions occur)
When both A's appear, a will appear. So the appearance of A is the main reason for the appearance of a
Find differences (find differences, find out the consequences when common conditions do not occur)
When A does not appear, a does not appear. So the non-appearance of A is the main reason why a does not appear.
Seek common ground, seek differences and use them (test the results that appear and do not appear respectively)
When both A's appear, a will appear. When A does not appear, a does not appear. So the appearance of A is the main reason for the appearance of a
The conclusion obtained by applying the method of seeking similarities and seeking differences one after another is more reliable than the conclusion obtained by applying the method of seeking similarities and seeking differences together.
basic laws of logic
Laws exist objectively and are not subject to human will. Only by following the laws of the development of things can we promote the development of things.
Law of Identity: A is A. Everything that is reasoned before must be consistent with everything that is reasoned later. Whatever was concluded at the beginning will be the same as what is concluded later.
Law of Contradiction: Whether A is A or not, two mutually negating ideas contradict each other. Such as selling spears and shields at the same time, such as inventing a container that can dissolve anything
Logical contradiction and dialectical contradiction
Logical contradictions are self-contradictory, mutually negating and exclusive judgments, one of which must be false.
Dialectical contradiction is both opposition and unity (although he came in last, he was still successful because he persisted to the end)
Contradiction is sometimes the source and driving force for the development of things: such as positive and negative electricity in electricity
paradox
The logical conclusion is obviously contradictory, but on the surface it can be justified. A barber said: I only shave all those people in the city who don't shave themselves, but in fact he still shaves himself because he is not the one who never shaves himself.
law of excluded middle
Two mutually negating ideas cannot be both false, and one of them must be true, and they cannot be ambiguous, such as saying that they don’t know each other as they should not know. For example, if you injure someone, you are either negligent or intentional. One of these must be true, and it cannot be said to be neither intentional nor negligent.
law of sufficient reason
The reason must be sufficient, and there must be a necessary logical relationship between the reason and the conclusion. A is true because b is true and can deduce a.
logical argument thinking
The process of using judgments that are known to be true and determining the truth or falsehood of another judgment through logical reasoning. Practical proof is the basis of logical argumentation, and logical conclusions also need to be proven true or false through practice.
Logical arguments can be divided into proofs and refutations, both of which complement each other.
argument structure
Topic: What to prove or disprove
Argument: what to use to argue
Argument method: How to argue
Proof method
Direct proof: provide real reasons to directly prove its authenticity
Proof by contradiction of indirect proof: first prove that the counter-thesis is false, and then determine that the original thesis is true according to the law of excluded middle
First, set up counter-topics
Second, prove that the counter-argument is false
Third, prove that the original argument is true
Selective evidence method for indirect proof: using elimination method and elimination method
First, set up an alternative issue including the original issue
Second, prove that all other thesis except the original thesis is false.
Third, prove that the original issue is true
Ways to refute
rebuttal issue
Directly refuting the thesis: directly establishing the thesis as false based on true arguments
Indirect refuting thesis: by proving that the contradiction or opposing thesis of the refuted thesis is true, thereby determining that the refuted thesis is false according to the law of contradiction
Independent proof method: first the objecting issue is true, and then determine the refuted issue is false according to the law of contradiction
Reductio ad absurdum: First assume that the refuted proposition is true, and then derive an absurd conclusion from this, thereby determining that the refuted proposition is false.
Counterarguments
It is a rebuttal method that proves that the opponent's argument is false.
rebuttal argument
Used to demonstrate that there is no necessary logical relationship between arguments and topics
rules of argument
The topic must be clear and clear about what is to be demonstrated
The topic must be the same before and after, do not try to change the concept or change the topic
rules of argument
The arguments must be true and sufficient, and cannot be based on mere speculation. A large amount of relevant evidence must be collected.
The authenticity of the argument cannot be proved by the topic, otherwise it is easy to make the logical error of circular argument.
logical fallacy
Fallacy is contrary to objective knowledge and the law of development of things. Truth and fallacy are absolutely opposite. Things develop in the struggle between truth and fallacy.
Sophism relies on false arguments to deny a true truth. Or say a false truth so beautifully that it sounds like it is true. Learning to understand fallacies will help you better distinguish between right and wrong.
Types of fallacies
Inductive fallacy and deductive fallacy
semantic fallacy, morphological fallacy, pragmatic fallacy
Formal and informal fallacies
If Zhang San hits Li Si, he is a bad person. If Zhang San does not hit Li Si, he is not a bad person. The fallacy is that even if Zhang San didn’t hit Li Si, you can’t be sure that Zhang San is not a bad person.
If the weather goes well this year, there will be a bumper harvest. Otherwise, there will be no bumper harvest. The fallacy is that even if the weather is not favorable, you can still have a bumper harvest through fertilization and irrigation.
configurational ambiguity
For example, "Father comes first before mother". This sentence can have 6 different meanings.
phonetic ambiguity fallacy
I remembered this sentence. One means I want to get up, and the other means I thought of something.
Confusing concepts
He plays games whenever he has free time and never wastes a minute: This saying "never waste" is full of fallacy.
Stealing concept
The hairdresser asked the customer do you want eyebrows? The customer replied, of course, and the barber shaved off the customer's eyebrows and gave them to the customer...
Taken out of context
Intercepting a certain fragment, only looking at the previous sentence without reading the next sentence, without identifying the source of the sentence: Many people know that Edison said that genius is one percent inspiration ➕ 99 percent sweat, and think that diligence is very important. But I didn’t know there was another sentence, inspiration is more important than sweat
appeal to authority
Blindly quoting famous quotes, thinking that they are all right. For example, if a celebrity endorses a product, it does not necessarily mean that it is of good quality.
appeal to pity
Neglecting correct judgment because of compassion, such as a fake beggar who sells compassion to get money
appeal to force
Tortured to extract confessions, beaten into submission, overpowered by forces to compromise
appeal to the public
It is easy to blindly follow the crowd and lack independent judgment and thinking. Sometimes the truth is in the hands of a few people
Based on sensory experience
In life, we need more rational understanding and less reliance on feelings and experience to reduce the occurrence of fallacies.
Based on legend
Hearsay and rumors, without real verification, legends can be used as a reference, but they cannot be used as a basis for facts.
misquote
There are many silently quoted sentences in the Analects. The sentence "The furthest distance in the world" was not written by Tagore, but by Zhang Xiaoxian.
repeat lies
A lie becomes the truth after being repeated a hundred times. Don’t believe it just because you have heard it so many times. Learn how to identify it and let the lies stop at the wise.