Topsoil field-saturated hydraulic conductivity, Kfs, is a parameter that controls the partition of rainfall between
infiltration and runoff and is a key parameter in most distributed hydrological models. There is a mismatch between the
scale of local in situ Kfs measurements and the scale at which the parameter is required in models for regional mapping.
Therefore methods for extrapolating local Kfs values to larger mapping units are required. The paper explores the feasibility
of mapping Kfs in the Cévennes-Vivarais region, in south-east France, using more easily available GIS data
concerning geology and land cover. Our analysis makes uses of a data set from infiltration measurements performed in
the area and its vicinity for more than ten years. The data set is composed of Kfs derived from infiltration measurements
performed using various methods: Guelph permeameters, double ring and single ring infiltrotrometers and tension infiltrometers.
The different methods resulted in a large variation in Kfs up to several orders of magnitude. A method is proposed
to pool the data from the different infiltration methods to create an equivalent set of Kfs. Statistical tests showed
significant differences in Kfs distributions in function of different geological formations and land cover. Thus the mapping
of Kfs at regional scale was based on geological formations and land cover. This map was compared to a map based
on the Rawls and Brakensiek (RB) pedotransfer function (mainly based on texture) and the two maps showed very different
patterns. The RB values did not fit observed equivalent Kfs at the local scale, highlighting that soil texture alone is
not a good predictor of Kfs.
Mathematics is traditionally considered being an apriori discipline consisting of purely analytic propositions. The aim of the present paper is to offer arguments against this entrenched view and to draw attention to the experiential dimension of mathematical knowledge. Following Husserl’s interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to interpret mathematical knowledge also as acknowledge based on instrumental experience. This interpretation opens a new view on the role of the logicist program, both in philosophy of mathematics and in philosophy of science., Matematika je tradičně považována za apriori disciplínu tvořenou čistě analytickými výroky. Cílem této práce je nabídnout argumenty proti tomuto zakořeněnému pohledu a upozornit na zkušenostní rozměr matematických znalostí. V návaznosti na Husserlovu interpretaci fyzických znalostí jako poznání vytvořených použitím nástrojů se snažím interpretovat matematické znalosti také jako uznání na základě instrumentální zkušenosti. Tato interpretace otevírá nový pohled na roli logického programu, a to jak ve filozofii matematiky, tak ve filozofii vědy., and Ladislav Kvasz