By Morris Kline
This paintings stresses the illogical demeanour during which arithmetic has built, the query of utilized arithmetic as opposed to 'pure' arithmetic, and the demanding situations to the consistency of mathematics' logical constitution that experience happened within the 20th century.
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Additional info for Mathematics: The Loss of Certainty (Galaxy Books)
2000)  for comparative Rs values. Arterio-venous oxygen content difference for the severe CHF case is consistent with Kugler et al. (1982) . The very low contractility implies (given the small change in pressure) an ejection fraction consistent with clinical observations found in Niebauer et al. (1999)  for very severe heart failure cases. It is well known that delays in feedback control can create instability in a control system. In congestive heart failure, the reduced cardiac output induces an increased transport delay which will reduce the efficiency of the central and peripheral controllers of ventilation.
Sleep-induced periodic breathing and apnea: a theoretical study. J. Appl. Physiol. 70 (5), 2014–2024 (1991) 35. , Silbernagl, S. ): Lehrbuch der Physiologie. Georg Thieme Verlag, Stuttgart, 1994 36. : Arterial blood gases and pH during sleep in chronic obstructive pulmonary disease. Am. J. Med. 58 (5), 663–670 (1975) 37. : Breathing during sleep in normal middle age subjects. Sleep 13 (2), 143–154 (1990) 38. : Regional and systemic metabolic effects of angiotensin-converting enzyme inhibition during exercise in patients with severe heart failure.
V˙A empirical control steady states: left and right ventricular heart failure sleep transition. 0348 ventilation thresholds simulating an operating point of PaCO2 in the middle range of values given in Javaheri (1999) . In general, PaCO2 levels in congestive heart patients are little changed from levels found in normal individuals even when there is reduced exchange efficiency in the lungs due to congestion. , Sullivan et al. (1988) . Cardiovascular-respiratory control system Fig. 27. V˙A empirical control: severe left and right ventricular failure sleep case.