If dictionaries were logico-mathematical texts, then so-called circular definition would amount to infinite regress, where one of the steps involved in running the procedure is to run the procedure ; and, in the context of explanation ( as opposed to description in the form of dictionary definition ), this would be a vicious infinite regress.

Although various theoretical approaches would come close to breaking out of the ideological constraints which restricted them, such as positivism, pragmatism, neo-Kantianism and phenomenology, Horkheimer would argue that they failed, because all were subject to a " logico-mathematical " prejudice which separates theoretical activity from actual life ( meaning that all these schools sought to find a logic which would always remain true, independently of and without consideration for ongoing human activities ).

The Foundations of Arithmetic: A logico-mathematical enquiry into the concept of number, 2nd ed.

The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

Hence it is the atomic number alone that determines the chemical properties of an element ; and it is for this reason that an element can be defined as consisting of any mixture of atoms with a given atomic number.

An adobe wall can serve as a significant heat reservoir due to the thermal properties inherent in the massive walls typical in adobe construction.

They can also include essential oils that have some antibacterial properties, like phenol, thymol, eugenol, eucalyptol or menthol.

However, some alloys can also have their properties altered by heat treatment.

There are typically three mathematical forms for the radial functions R ( r ) which can be chosen as a starting point for the calculation of the properties of atoms and molecules with many electrons.

Area can be defined as a function from a collection M of special kind of plane figures ( termed measurable sets ) to the set of real numbers which satisfies the following properties:

It can be defined as a difference, when measured along different axes, in a material's physical or mechanical properties ( absorbance, refractive index, conductivity, tensile strength, etc.

For example, an antiproton and a positron can form an antihydrogen atom, which has almost exactly the same properties as a hydrogen atom.

Its chemical and physical properties are so similar to that of natural amethyst that it can not be differentiated with absolute certainty without advanced gemnological testing ( which is often cost-prohibitive ).

Allotropes are different structural forms of the same element and can exhibit quite different physical properties and chemical behaviours.

These oncolytic properties provided a promising link between CDV and lymphoma apoptosis which can lead to development of alternative treatment methods for both canine lymphoma and human non-Hodgkin lymphoma.

The resulting polymers, called polyacetylenes ( which do not contain alkyne units ) are conjugated and can exhibit semiconducting properties.

Computational fluid dynamics was started as an effort to solve for flow properties around complex objects and has rapidly grown to the point where entire aircraft can be designed using a computer, with wind-tunnel tests followed by flight tests to confirm the computer predictions.

Today, " minor tranquilizer " can refer to anxiolytic and / or hypnotic drugs such as the benzodiazepines and nonbenzodiazepines which have some antipsychotic properties and are recommended for concurrent use with antipsychotics, and are useful for insomnia or drug-induced psychosis.

Brass is an alloy of copper and zinc ; the proportions of zinc and copper can be varied to create a range of brasses with varying properties.

By varying the proportions of copper and zinc, the properties of the brass can be changed, allowing hard and soft brasses.

According to bundle theory, an object consists of its properties and nothing more: thus neither can there be an object without properties nor can one even conceive of such an object ; for example, bundle theory claims that thinking of an apple compels one also to think of its color, its shape, the fact that it is a kind of fruit, its cells, its taste, or at least one other of its properties.

Lastly, mechanical properties of these biopolymers can often be measured using optical tweezers or atomic force microscopy.

These have some bosonic properties, while bosons, at sufficiently low temperature, can form a large Bose-Einstein condensate.

Change our taxing law so that no tax shall be charged to any owner for additions or improvements to his properties.

Milk production may be increased by the anti-infective properties of this drug.

Milk production may be increased by the anti-infective properties of this drug.

Such an instrument is expected to be especially useful if it could be used to measure the elasticity of heavy pastes such as printing inks, paints, adhesives, molten plastics, and bread dough, for the elasticity is related to those various properties termed `` length '', `` shortness '', `` spinnability '', etc., which are usually judged by subjective methods at present.

Mutants may also be developed with changes in biochemical properties that are of importance in identification.

At the present time we do not know by what biochemical mechanism TSH acts on the thyroid, but for bio-assay of the hormone there are a number of properties by which its activity may be estimated, including release of iodine from the thyroid, increase in thyroid weight, increase in mean height of the follicular cells and increase in the thyroidal uptake of Af.

The most active preparations obtained by these two groups of investigators appear to be similar in potency, composition and physical properties.

It is therefore necessary to consider the properties of pituitary TSH if the fragmentary chemical information about blood TSH is to be discussed rationally.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

If the transferor has substantial assets other than the claim, it seems reasonable to assume no corporation would be willing to acquire all of its properties in the dim hope of collecting a claim for refund of taxes.

Once many significant phrases are found in theory or in recurrent practice to provide for prosodic necessity, they are not to be defended for their semantic properties in isolated contexts.

Better `` hand '', a more luxurious feel, and better insulating properties were claimed to be the result.

It is possible that the polyether foams may soon be molded on a production basis in low-cost molds with more intricate contours and with superior properties to latex foam.

As it will be shown later, the field-flattening properties of the interstage and output fiber coupler comprise indeed the main advantage of such a design.

In practice, a bidirectional reflectance distribution function ( BRDF ) may be required to characterize the scattering properties of a surface accurately, although the albedo is a very useful first approximation.

Experiments have been conducted to attempt the synthesis of ununennium ( Uue ), which is likely to be the next member of the group, but they have all met with failure .< ref name =" link "> However, ununennium may not be an alkali metal due to relativistic effects, which are predicted to have a large influence on the chemical properties of superheavy elements.

Besides iodine and tellurium, later several other pairs of elements ( such as argon and potassium, cobalt and nickel ) were known to have nearly identical or reversed atomic weights, leaving their placement in the periodic table by chemical properties to be in violation of known physical properties.

The organosulphur compounds responsible for the characteristic odour are believed to have antioxidant, antibiotic and anticarcinogenic properties, to stimulate the immune system and to be protective of liver functioning.

As the chemical properties of the elements were known to largely repeat themselves according to the periodic law, in 1919 the American chemist Irving Langmuir suggested that this could be explained if the electrons in an atom were connected or clustered in some manner.