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Good conjectures are statements or propositions that are testable and based on observed patterns or evidence. They should be specific enough to allow for investigation, yet broad enough to warrant exploration and potential generalization. A strong conjecture often leads to further questions and research, encouraging deeper inquiry into a subject. Additionally, good conjectures should be falsifiable, meaning they can be proven true or false through experimentation or logical reasoning.
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What must be testable and capable of being proven false?
hypotheses or more generally conjectures should be capable of being refuted see: Karl Popper - Conjectures and Refutations
Does deductive reasoning use observations to prove conjectures?
false
What the name of theories not yet proven?
Theories that have not yet been proven are often referred to as "hypotheses" or "conjectures." In the realm of science, these can include speculative theories like "string theory" in physics or "dark matter" in cosmology. In mathematics, unproven theories are often called "conjectures," such as the "Riemann Hypothesis." These concepts remain subjects of ongoing research and exploration.
A scientific must be testable and capable of being proven false.?
Yes. Scientific theories, hypotheses or more generally conjectures must be testable capable of being proved false.
Must a scientific theory be testable and capable of being proven false?
Yes. Scientific theories, hypotheses or more generally conjectures must be testable capable of being proved false.
Do conjectures explain a proof?
No. Conjectures are "good" guesses.
In geometry you can use deductive rules to?
In geometry, deductive rules can be used to prove conjectures.
Fill in the blank In geometry youll often be able to use deductive rules to conjectures?
prove conjectures
What rhymes with lectures?
Some words that rhyme with "lectures" are textures, conjectures, and ruptures.
How do you use the ideas of direct and indirect proof along with algebraic properties to verify valid conjectures and refute invalid conjectures?
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How are conjectures and statements different'?
Conjectures and statements differ primarily in their nature and certainty. A statement is a declarative sentence that can be classified as true or false, while a conjecture is a proposition that is believed to be true based on observations or patterns but has not yet been proven. Essentially, all conjectures are statements, but not all statements are conjectures; some may be established facts. Conjectures often serve as hypotheses in mathematical and scientific contexts that require further investigation or proof.
What word is closely related to conjectures?
surmises
What type of thinking do you use to make conjectures?
inductive
What must be testable and capable of being proven false?
hypotheses or more generally conjectures should be capable of being refuted see: Karl Popper - Conjectures and Refutations
What is the definition geometry conjecture?
Twenty Conjectures in Geometry:Vertical Angle Conjecture: Non-adjacent angles formed by two intersecting lines.Linear Pair Conjecture: Adjacent angles formed by two intersecting lines.Triangle Sum Conjecture: Sum of the measures of the three angles in a triangle.Quadrilateral Sum Conjecture: Sum of the four angles in a convex four-sided figure.Polygon Sum Conjecture: Sum of the angles for any convex polygon.Exterior Angles Conjecture: Sum of exterior angles for any convex polygon.Isosceles Triangle Conjectures: Isosceles triangles have equal base angles.Isosceles Trapezoid Conjecture: Isosceles trapezoids have equal base angles.Midsegment Conjectures: Lengths of midsegments for triangles and trapezoids.Parallel Lines Conjectures: Corresponding, alternate interior, and alternate exterior angles.Parallelogram Conjectures: Side, angle, and diagonal relationships.Rhombus Conjectures: Side, angle, and diagonal relationships.Rectangle Conjectures: Side, angle, and diagonal relationships.Congruent Chord Conjectures: Congruent chords intercept congruent arcs.Chord Bisector Conjecture: The bisector of a chord passes through the center of the circle.Tangents to Circles Conjectures: A tangent to a circle is perpendicular to the radius.Inscribed Angle Conjectures: An inscribed angles has half the measure of intercepted arc.Inscribed Quadrilateral Conjecture: Opposite angles are supplements.The Number "Pi" Conjectures: Circumference and diameter relationship for a circle.Arc Length Conjecture: Formula to calculate the length of an arc on a circle.
Does deductive reasoning use observations to prove conjectures?
false
Are conjectures allowed in proofs?
Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.
