astronomy

Stanisław Jaśkowski

Stanisław Jaśkowski is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Stanisław Jaśkowski rather than just read about it. In short: Stanisław Jaśkowski (Polish pronunciation: [staˈɲsvaf jaɕˈkɔfskʲi]; 22 April 1906, in Warsaw – 16 November 1965, in Warsaw) was a Polish logician who made important contributions to proof theory and formal semantics. He was a student of Jan Łukasiewicz and a member of the Lwów–Warsaw School of Logic.

Key takeaways

Stanisław Jaśkowski belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Stanisław Jaśkowski to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Stanisław Jaśkowski from memory before moving on to harder problems.

Reference excerpt

Stanisław Jaśkowski (Polish pronunciation: [staˈɲsvaf jaɕˈkɔfskʲi]; 22 April 1906, in Warsaw – 16 November 1965, in Warsaw) was a Polish logician who made important contributions to proof theory and formal semantics. He was a student of Jan Łukasiewicz and a member of the Lwów–Warsaw School of Logic. He is regarded as one of the founders of natural deduction, which he discovered independently of Gerhard Gentzen in the 1930s. He is also known for his research into paraconsistent logic. He was the President (rector) of the Nicolaus Copernicus University in Toruń.

Life and career He was born in 1906 in Warsaw to father Feliks Jaśkowski and mother Kazimiera (née Dzierzbicka). In 1924, he graduated from high school in Zakopane and enrolled at the University of Warsaw to study mathematics. He was taught mathematical logic under Jan Łukasiewicz and participated in the Polish Mathematicians' Congresses in Lviv (1927) and Vilnius (1931). In 1932, Jaśkowski earned his doctorate on the basis of his thesis Reguły wnioskowania za pomocą założeń (Rules of Inference by Means of Assumptions) written under the supervision of Łukasiewicz. After the outbreak of World War II, he participated in the September Campaign as a volunteer. In 1942, he was briefly imprisoned by the Germans. In 1945, he continued his scientific career at the University of Toruń where co-organized the Departments of Mathematics, Physics and Chemistry. In 1946, he defended his habilitation at the Jagiellonian University and subsequently assumed the post of the head of the Faculty of Mathematical Logic at the University of Toruń. Since 1950, he collaborated with the State Institute of Mathematics of the Polish Academy of Sciences (PAN). Between 1959–1962, he served as the Rector of the University. He was among the founders and served as the first President of the Polish Mathematical Society's branch in Toruń. Jaśkowski is considered to be one of the founders of natural deduction, which he discovered independently of Gerhard Gentzen in the 1930s. Gentzen's approach initially became more popular with logicians because it could be used to prove the cut-elimination theorem. However, Jaśkowski's is closer to the way that proofs are done in practice. He was also one of the first to propose a formal calculus of inconsistency-tolerant (or paraconsistent) logic. Furthermore, Jaśkowski was a pioneer in the investigation of both intuitionistic logic and free logic. He died in 1965 in Warsaw and was buried at the Powązki Cemetery.

Works On the Rules of Suppositions in Formal Logic Studia Logica 1, 1934 pp. 5–32 (reprinted in: Storrs McCall (ed.), Polish Logic 1920-1939, Oxford University Press, 1967 pp. 232–258 Investigations into the System of Intuitionist Logic 1936 (translated in: Storrs McCall (ed.), Polish Logic 1920-1939, Oxford University Press, 1967 pp. 259–263 A propositional Calculus for Inconsistent Deductive Systems 1948 (reprinted in: Studia Logica, 24 1969, pp 143–157 and in: Logic and Logical Philosophy 7, 1999 pp. 35–56) On the Discussive Conjunction in the Propositional Calculus for Inconsistent Deductive Systems 1949 (reprinted in: Logic and Logical Philosophy 7, 1999 pp. 57–59) On Formulas in which no Individual Variable occurs more than Twice, Journal of Symbolic Logic, 31, 1966, pp. 1–6) in Polish

O symetrii w zdobnictwie i przyrodzie - matematyczna teoria ornamentów (English title: On Symmetry in Art and Nature), PWS, Warszawa, 1952 (book 168 pages) Matematyczna teoria ornamentów (English title: Mathematical Theory of Ornaments), PWN, Warszawa, 1957 (book 100 pages)

See also List of Polish mathematicians Timeline of Polish science and technology

References

Sources Jerzy Perzanowski (1999). "Fifty Years of Parainconsistent Logics" (PDF). Logic and Logical Philosophy. 7: 21–24. Archived from the original (PDF) on 2006-04-04. Woleński, Jan (2003). "Lvov-Warsaw School". The Stanford Encyclopedia of Philosophy (Summer 2003 Edition). Retrieved 2006-03-11. Jerzy Kotas, August Pieczkowski. Scientific works of Stanisław Jaśkowski, Studia Logica 21, 1967, 7-15

External links Polish Logic of the Postwar Period

Worked examples

Example 1 — a first encounter with Stanisław Jaśkowski

Start with the simplest possible case. Write down what Stanisław Jaśkowski claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Stanisław Jaśkowski before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Stanisław Jaśkowski ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Stanisław Jaśkowski

In research: Stanisław Jaśkowski appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Stanisław Jaśkowski in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Stanisław Jaśkowski is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1906 births, 1965 deaths, 20th-century Polish philosophers, so understanding it makes those chapters shorter.
In everyday life: Look for Stanisław Jaśkowski outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Stanisław Jaśkowski in 20 minutes

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Frequently asked questions

What is Stanisław Jaśkowski in simple terms?

Why does Stanisław Jaśkowski matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Stanisław Jaśkowski?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Stanisław Jaśkowski.