Al-Muqniʿ fi ʼl-ḥisāb al-Hindī /
:
Abu ʼl-Ḥasan Nasawī was a mathematician and geometer of the 5th/11th century. He was a contemporary of Bīrūnī (d. 440/1048) and a student of Avicenna (d. 428/1037). Naṣīr al-Dīn Ṭūsī (d. 672/1274) mentions him in his works and so do others. Nasawī became known in the west through the publications of Franz Woepcke in the nineteenth century. Born in Rayy, Nasawī worked for the Buyid ruler Majd al-Dawla (d. 420/1029) and later for Sharaf al-Dawla, vizier to the Buyid ruler of Baghdad, Jalāl al-Dawla (d. 435/1044). In Nasawī's time, there were three types of arithmetic: finger-counting as used in business, a sexagesimal sytem with numbers denoted by letters of the Arabic alphabet, and an Indian system of numerals and fractions with decimal notation. The present work is about the Indian system and treats of four classes of numbers in four separate sections. This is Nasawī's own Arabic reworking of the Persian original, now lost.
:
"Mīrās̲-i Maktūb (Series), 241"--P. facing title page. :
1 online resource. :
9789004406094
9786002030368
Essays in the philosophy and history of logic and mathematics /
:
The book is a collection of the author's selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.
:
A collection of previously published essays; those originally written in Polish have been translated into English for this publication. :
1 online resource (343 pages) :
Includes bibliographical references (p. 301-334) and index. :
9789042030916 :
0303-8157 ; :
Available to subscribing member institutions only.
Rāshīkāt al-Hind : Tanāsub nazd-i Hindiyān /
:
Abū Rayḥān al-Bīrūnī (d. after 442/1050) is one of the greatest scholars in the history of Islam. A native of Kāth, capital of Khwārazm, he wrote on subjects ranging from mathematics, geography, astronomy and natural science to history, linguistics and ethnography. He was a student of, among others, the astronomer-mathematicians Kushyār b. Labbān (fl. 390/1000) and Abū Maḥmūd al-Khujandī (d. 390/1000). He also met and corresponded with Avicenna (d. 428/1037). As was common for a scholar of his rank in those days, he spent his life in the entourage of powerful rulers, in Khwārazm, Khurāsān, and Sidjistān. It was at the court of Maḥmūd b. Sebüktigin (d. 421/1030) and his sucessors in Ghazna that he accompanied Maḥmūd on his campaigns to north-west India. It is there that he got acquainted with Indian methods in the arithmetic of proportions and ratios, the subject of this book. Arabic text with a Persian translation by the editor.
:
1 online resource. :
9789004405615
9789648700954
Aristotle and mathematics : aporetic method in cosmology and metaphysics /
:
John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics.
:
1 online resource (xxxvi, 558 pages) :
Includes bibliographical references (p. 505-528) and indexes. :
9789004320901 :
0079-1687 ; :
Available to subscribing member institutions only.