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Which statements is true of deductive reasoning?
Deductive reasoning is a logical process where conclusions are drawn from general premises or principles to reach specific conclusions. It follows a top-down approach, starting with a general statement or hypothesis and applying it to specific cases. If the premises are true and the reasoning is valid, the conclusion must also be true. This method is often used in mathematics and formal logic to prove theories or theorems.
What is the difference between thinking and reasoning?
The difference between thinking and Reasoning 1.meaning Thinking is the mental process that produce though. While Reasoning as a mental process. 2. Interm of characteristic Thinking can be conscious or unconscious while Reasoning is always conscious Logic Thinking logic does not play a key role while Reasoning play a key role 4.process. Thinking is a large process while Reasoning is sud category of though process.
What methods are useful in solving a geometric proof?
To solve a geometric proof, useful methods include direct proof, where one derives the conclusion through logical steps based on definitions, theorems, and previously established results. Indirect proof, or proof by contradiction, can also be employed by assuming the opposite of the conclusion and showing that this leads to a contradiction. Additionally, the use of diagrams can help visualize relationships and properties, while applying congruence and similarity rules can assist in establishing relationships between figures.
What is the mass of a book that weighs 5 Newtons on earth?
The Earth weight of a particular substance in newtons is the product of its mass (in kg) and 9.8 meters per second per second, following this conclusion we shall get the mass of a substance if we divide its weight by 9.8 . Therefore applying this theory the mass of the book must or would be 0.51 kg.
How has Thales contribution in geometry helped life today?
Thales of Miletus, often regarded as the father of geometry, significantly advanced the field by introducing logical reasoning and proofs, which laid the groundwork for future mathematical theories. His work in geometry, particularly theorems related to triangles and circles, has influenced various practical applications, from architecture and engineering to navigation and astronomy. By applying mathematical principles to everyday problems, Thales' contributions have helped shape modern science and technology, enhancing our ability to understand and manipulate the physical world. His emphasis on deductive reasoning continues to be foundational in mathematics education today.
What sHow is how a conclusion logically follows from other statements?
A conclusion logically follows from other statements when it is a necessary inference based on the information provided. In logical reasoning, a conclusion is reached by applying valid reasoning rules to the given premises. If the conclusion can be drawn directly from the premises using these rules, it is said to follow logically.
What type of reasoning involves applying general principles ti a specific case?
The type of reasoning that involves applying general principles to a specific case is known as deductive reasoning. In deductive reasoning, one starts with a general statement or hypothesis and uses it to draw conclusions about a specific instance. This logical approach ensures that if the general principles are true, the specific conclusion must also be true.
What is a logical conclusion derived from premises known or assumed to be true?
A logical conclusion is a statement that can be inferred from the premises based on the rules of logic. It is the result of applying deductive reasoning to ensure that if the premises are true, the conclusion must also be true.
What A conclusion reached on the basis of evidence and reasoning is aan?
A conclusion reached on the basis of evidence and reasoning is an inference. It is derived from analyzing data and applying logical thought processes to draw a reasoned judgment or interpretation. Inferences help us understand relationships and make predictions based on the information available.
Does inductive reasoning involve applying a general rule to a specific situation?
No, inductive reasoning involves reaching a general conclusion based on specific observations or evidence. It moves from specific instances to a general principle, unlike deductive reasoning which applies a general rule to specific situations.
What type of a reasoning involves applying general principles to a specific case?
deductive reasoning it is deductive reasoning........
What type of reasoning involves applying generally principles to specific case?
deductive reasoning it is deductive reasoning........
When a person uses creative thinking to combine isolated facts to arrive at an explanation for a natural event he is using?
In this scenario, the person is using deductive reasoning. Deductive reasoning involves starting with a general theory or hypothesis and then applying it to specific situations to arrive at a conclusion.
Logical reasoning is the use of?
a specific method to come to a conclusion based on facts or assumptions.Logical reasoning entails the use of formal deduction, that is, induction and abduction.
What you use deduction and start from a given set of rules and conditions?
Deduction is a logical reasoning process where you start with general principles or premises and derive specific conclusions based on them. By applying deductive reasoning, you can come to a valid conclusion if the initial statements are true and the logical rules are followed.
When you use facts rules definitions or lawsto make conjectures from given situations what's that's called?
That is called deductive reasoning. Deductive reasoning uses established principles or premises to reach a logical conclusion. It involves applying logical rules to derive specific conclusions from general principles.
What computer technologies attempt to duplicate the work of human experts by applying reasoning capabilities?
decision support system attempt to duplicate the work of human experts by applying reasoning capabilities
