scholarly journals Kant's Mathematical World

2021 ◽  
Author(s):  
Daniel Sutherland
Keyword(s):  
Nineteenth Century ◽  
Philosophy Of Mathematics ◽  
Mathematical Cognition ◽  
Critical Philosophy ◽  
Cognitive Capacities ◽  
Mathematical World ◽  
The World ◽  
Mathematical Tradition ◽  
Euclid’S Elements ◽  
Way Of Thinking

Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world. His book will appeal to anyone interested in Kant's critical philosophy -- either his account of the world of experience, or his philosophy of mathematics, or how the two inform each other.

scholarly journals The Epistemological Import of Euclidean Diagrams (in a non-Euclidean world)

2016 ◽  
Vol 16 (1) ◽  
pp. 124-141
Author(s):  
Daniele Molinini
Keyword(s):  
Philosophy Of Mathematics ◽  
Plane Geometry ◽  
Specific Mechanism ◽  
Original Analysis ◽  
The World ◽  
Euclid’S Elements ◽  
Epistemic Role

Abstract In this paper I concentrate on Euclidean diagrams, namely on those diagrams that are licensed by the rules of Euclid’s plane geometry. I shall overview some philosophical stances that have recently been proposed in philosophy of mathematics to account for the role of such diagrams in mathematics, and more particularly in Euclid’s Elements. Furthermore, I shall provide an original analysis of the epistemic role that Euclidean diagrams may (and, indeed) have in empirical sciences, more specifically in physics. I shall claim that, although the world we live in is not Euclidean, Euclidean diagrams permit to obtain knowledge of the world through a specific mechanism of inference I shall call inheritance.

‘Otherwise in London’ or, the ‘Essence of Things’: Modernity and Estrangement in the Nineteenth-Century Cityscape

2015 ◽  
Vol 5 (1) ◽  
pp. 17-35
Author(s):  
Julian Wolfreys
Keyword(s):  
Nineteenth Century ◽  
William Wordsworth ◽  
Urban Landscape ◽  
Thomas De Quincey ◽  
Urban Centre ◽  
Early Nineteenth Century ◽  
Urban Representation ◽  
Robert Southey ◽  
The World ◽  
The City

Writers of the early nineteenth century sought to find new ways of writing about the urban landscape when first confronted with the phenomena of London. The very nature of London's rapid growth, its unprecedented scale, and its mere difference from any other urban centre throughout the world marked it out as demanding a different register in prose and poetry. The condition of writing the city, of inventing a new writing for a new experience is explored by familiar texts of urban representation such as by Thomas De Quincey and William Wordsworth, as well as through less widely read authors such as Sarah Green, Pierce Egan, and Robert Southey, particularly his fictional Letters from England.

Mirrors, Masks, and Masculinity: The Homosocial Legacy from Dickens to Machen

2016 ◽  
Vol 6 (3) ◽  
pp. 256-275
Author(s):  
Molly C. O'Donnell
Keyword(s):  
Nineteenth Century ◽  
Victorian Novel ◽  
Specific Context ◽  
Clear Cut ◽  
The World ◽  
Speech Genre

All the narrators and characters in J. Sheridan Le Fanu's In a Glass Darkly are unreliable impostors. As the title suggests, this is also the case with Arthur Machen's The Three Impostors, which similarly presents a virtual matryoshka of unreliability through a series of impostors. Both texts effect this systematic insistence on social constructedness by using and undermining the specific context of the male homosocial world. What served as the cure-all in the world of Pickwick – the homosocial bond – has here been exported, exposed, and proven flawed. The gothic is out in the open now, and the feared ghost resides without and within the group. The inability of anyone to interpret its signs, communicate its meaning, and rely on one's friends to talk one through it is the horror that cannot be overcome. Part of a larger project on the nineteenth-century ‘tales novel’ that treats the more heterogeneric and less heteronormative Victorian novel, this article examines how In a Glass Darkly and The Three Impostors blur the clear-cut gender division articulated in prior masculine presentations like The Pickwick Papers and feminine reinterpretations such as Cranford. These later texts challenge binaries of sex, speech, genre, and mode in enacting the previously articulated masculine and feminine simultaneously.

Introduction

2017 ◽  
Author(s):  
George E. Dutton
Keyword(s):  
Nineteenth Century ◽  
Vantage Point ◽  
15Th Century ◽  
The World ◽  
Catholic Mission ◽  
Historical Moment ◽  
The Impact ◽  
Main Figure

This chapter introduces the book’s main figure and situates him within the historical moment from which he emerges. It shows the degree to which global geographies shaped the European Catholic mission project. It describes the impact of the Padroado system that divided the world for evangelism between the Spanish and Portuguese crowns in the 15th century. It also argues that European clerics were drawing lines on Asian lands even before colonial regimes were established in the nineteenth century, suggesting that these earlier mapping projects were also extremely significant in shaping the lives of people in Asia. I argue for the value of telling this story from the vantage point of a Vietnamese Catholic, and thus restoring agency to a population often obscured by the lives of European missionaries.

Mathematical Knowledge and the Interplay of Practices

2015 ◽  
Author(s):  
José Ferreirós
Keyword(s):  
Mathematical Knowledge ◽  
A Priori ◽  
Philosophy Of Mathematics ◽  
Advanced Mathematics ◽  
New Approach ◽  
Agent Based ◽  
Epistemology Of Mathematics ◽  
Actual Experience ◽  
Elementary Math ◽  
Mathematical Tradition

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, the book uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, the book shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. It argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. It demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, the book challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.

Women and Agency in Bankim’s Rajmohan’s Wife and Tagore’s The Home and The World

2020 ◽  
Vol 12 (5) ◽  
Author(s):  
Manju Dhariwal ◽  
Keyword(s):  
Nineteenth Century ◽  
The Self ◽  
Indian English ◽  
Colonial India ◽  
English Novel ◽  
The World ◽  
The Status ◽  
Insight Into ◽  
Status Of Women

Written almost half a century apart, Rajmohan’s Wife (1864) and The Home and the World (1916) can be read as women centric texts written in colonial India. The plot of both the texts is set in Bengal, the cultural and political centre of colonial India. Rajmohan’s Wife, arguably the first Indian English novel, is one of the first novels to realistically represent ‘Woman’ in the nineteenth century. Set in a newly emerging society of India, it provides an insight into the status of women, their susceptibility and dependence on men. The Home and the World, written at the height of Swadeshi movement in Bengal, presents its woman protagonist in a much progressive space. The paper closely examines these two texts and argues that women enact their agency in relational spaces which leads to the process of their ‘becoming’. The paper analyses this journey of the progress of the self, which starts with Matangini and culminates in Bimala. The paper concludes that women’s journey to emancipation is symbolic of the journey of the nation to independence.

Introduction

2018 ◽  
Author(s):  
Michael C. Legaspi
Keyword(s):  
Western Culture ◽  
Profound Influence ◽  
Wide Range ◽  
The World ◽  
Way Of Thinking

This is a book about wisdom. It is an inquiry into the beginnings of a particular way of thinking about life in the world. Seen in terms of wisdom, the world is not a meaningless array of disconnected things but something that is experienced as an ordered reality. This holistic way of understanding life in the world characterized pursuits of wisdom in a two-sided classical and biblical tradition that exercised a profound influence on Western culture. This book examines the development of that tradition in a wide range of texts from Homer to Plato and in the writings of early Jewish and Christian authors.

The Whole World in a Book

2019 ◽  
Keyword(s):  
Nineteenth Century ◽  
Social Mobility ◽  
White Men ◽  
Nation State ◽  
New Wave ◽  
Canadian French ◽  
Language And Literature ◽  
The World ◽  
Lower Status ◽  
Brazilian Sign Language

The nineteenth century saw a new wave of dictionaries, many of which remain household names. Those dictionaries didn’t just store words; they represented imperial ambitions, nationalist passions, religious fervour, and utopian imaginings. The Whole World in a Book explores a period in which globalization, industrialization, and social mobility were changing language in unimaginable ways. Dictionaries in the nineteenth century became more than dictionaries: they were battlefields between prestige languages and lower-status dialects; national icons celebrating the language and literature of the nation-state; and sites of innovative authorship where middle and lower classes, volunteers, women, colonial subjects, the deaf, and missionaries joined the ranks of educated white men in defining how people communicated and understood the world around them. This volume investigates dictionaries in the nineteenth century covering languages as diverse as Canadian French, English, German, Frisian, Japanese, Libras (Brazilian sign language), Manchu, Persian, Quebecois, Russian, Scots, and Yiddish.

Resurrection

2009 ◽  
Author(s):  
Leo Tolstoy
Keyword(s):  
Nineteenth Century ◽  
Social Life ◽  
The Novel ◽  
Recent Scholarship ◽  
The Social ◽  
The World

Resurrection (1899) is the last of Tolstoy's major novels. It tells the story of a nobleman's attempt to redeem the suffering his youthful philandering inflicted on a peasant girl who ends up a prisoner in Siberia. Tolstoy's vision of redemption achieved through loving forgiveness, and his condemnation of violence, dominate the novel. An intimate, psychological tale of guilt, anger, and forgiveness, Resurrection is at the same time a panoramic description of social life in Russia at the end of the nineteenth century, reflecting its author's outrage at the social injustices of the world in which he lived. This edition, which updates a classic translation, has explanatory notes and a substantial introduction based on the most recent scholarship in the field.

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