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Conflicts between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17-19th Century France and Germany

Gert Schubring

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

History of Mathematical Sciences; Analysis

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2005 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-22836-5

ISBN electrónico

978-0-387-28273-2

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, Inc. 2005

Cobertura temática

Tabla de contenidos

Question and Method

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 1-13

Paths Toward Algebraization — Development to the Eighteenth Century. The Number Field

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 15-150

Paths toward Algebraization — The Field of Limits: The Development of Infinitely Small Quantities

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 151-256

Culmination of Algebraization and Retour du Refoulé

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 257-308

Le Retour du Refoulé: From the Perspective of Mathematical Concepts

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 309-426

Cauchy’s Compromise Concept

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 427-480

Development of Pure Mathematics in Prussia/Germany

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 481-565

Conflicts Between Confinement to Geometry and Algebraization in France

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 567-600

Summary and Outlook

Gert Schubring

Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.

Pp. 601-617