In that case hamd (praise) would mean all praises...
In that case hamd (praise) would mean all praises, and the word 'hamd' as well as the word, 'ism' will have a sense of multitude. From this point of view 'al-hamdu lillahi' would mean that every praise that is made is that of Allah, for it is always the praise of some aspect of His manifestation or glory. The sun manifests itself in its rays. Man is manifested in his seeing and hearing faculties. Allah manifests Himself far more clearly in every creation of His.
Therefore, when anything is praised actually a manifestation of Allah's glory is praised. As all the existing things are the signs of Allah, they are His names. According to the second possibility we mentioned, the meaning would be diametrically different, and 'al-hamdu lillahi' would signify that no praise made by any praiser was that of Allah, although in this case also His glory is revealed in all the objects which are praised.
But our praise cannot be absolute, nor are we capable of praising the Absolute Being. Anyhow, as all pluralities are lost and absorbed in the unity of the Absolute Being, it may be said that from one angle even in this case it is the Absolute Being that is praised. The only difference is of the angle from which you look at this issue.
If you look at it from the angle of plurality, then every praise would be that of Allah, every existing thing would be His name and every name would be different from other names. According to this possibility the meaning of bismillah will be different from its meaning according to the other possibility. The main feature of this possibility is that a sense of numerousness is implied in the conception of 'ism' or name.
Allah is the name in which the stage of multitude and detail is taken into consideration. This name is the 'Exalted Name' in which Allah's glory is revealed. Divine Glory in Everything The glory of Allah's Exalted Name is revealed in everything. Allah's name Rahman (Beneficent) is the reflection of His beneficence in the state of action and His name Rahim (Merciful) is the reflection of His mercy in the state of action.
The same applies to 'rabbil 'alamin' (Lord of the Universe), 'iyyaka na'budu' (You we worship) etc. According to the second possibility, hamd (praise) in 'al-hamdu lillah' signifies absolute and unqualified praise. In this case the conception of Allah, Rahman and Rahim will also be a little different. According to the first possibility 'ism' (name) means every existing thing with reference to its function.